TY - JOUR A1 - Alsaad, Hayder A1 - Hartmann, Maria A1 - Voelker, Conrad T1 - The effect of a living wall system designated for greywater treatment on the hygrothermal performance of the facade JF - Energy and Buildings N2 - Besides their multiple known benefits regarding urban microclimate, living walls can be used as decentralized stand-alone systems to treat greywater locally at the buildings. While this offers numerous environmental advantages, it can have a considerable impact on the hygrothermal performance of the facade as such systems involve bringing large quantities of water onto the facade. As it is difficult to represent complex entities such as plants in the typical simulation tools used for heat and moisture transport, this study suggests a new approach to tackle this challenge by coupling two tools: ENVI-Met and Delphin. ENVI-Met was used to simulate the impact of the plants to determine the local environmental parameters at the living wall. Delphin, on the other hand, was used to conduct the hygrothermal simulations using the local parameters calculated by ENVI-Met. Four wall constructions were investigated in this study: an uninsulated brick wall, a precast concrete plate, a sandy limestone wall, and a double-shell wall. The results showed that the living wall improved the U-value, the exterior surface temperature, and the heat flux through the wall. Moreover, the living wall did not increase the risk of moisture in the wall during winter and eliminated the risk of condensation. KW - Feuchteleitung KW - Diffusionswärme KW - Heat transport KW - Moisture transport KW - Living wall KW - Delphin KW - ENVI-Met Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20240116-65299 UR - https://www.sciencedirect.com/science/article/pii/S0378778821009956 VL - 2022 IS - volume 255, article 111711 ER - TY - THES A1 - Alabassy, Mohamed Said Helmy T1 - Automated Approach for Building Information Modelling of Crack Damages via Image Segmentation and Image-based 3D Reconstruction N2 - As machine vision-based inspection methods in the field of Structural Health Monitoring (SHM) continue to advance, the need for integrating resulting inspection and maintenance data into a centralised building information model for structures notably grows. Consequently, the modelling of found damages based on those images in a streamlined automated manner becomes increasingly important, not just for saving time and money spent on updating the model to include the latest information gathered through each inspection, but also to easily visualise them, provide all stakeholders involved with a comprehensive digital representation containing all the necessary information to fully understand the structure’s current condition, keep track of any progressing deterioration, estimate the reduced load bearing capacity of the damaged element in the model or simulate the propagation of cracks to make well-informed decisions interactively and facilitate maintenance actions that optimally extend the service life of the structure. Though significant progress has been recently made in information modelling of damages, the current devised methods for the geometrical modelling approach are cumbersome and time consuming to implement in a full-scale model. For crack damages, an approach for a feasible automated image-based modelling is proposed utilising neural networks, classical computer vision and computational geometry techniques with the aim of creating valid shapes to be introduced into the information model, including related semantic properties and attributes from inspection data (e.g., width, depth, length, date, etc.). The creation of such models opens the door for further possible uses ranging from more accurate structural analysis possibilities to simulation of damage propagation in model elements, estimating deterioration rates and allows for better documentation, data sharing, and realistic visualisation of damages in a 3D model. KW - Building Information Modeling KW - BIM KW - IFC KW - Damage Information Modelling KW - Cracks Segmentation KW - Cracks 3D Modelling KW - Netscape Internet Foundation Classes Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20230818-64162 ER - TY - THES A1 - Chawdhury, Samir T1 - Partitioned Algorithms using Vortex Particle Methods for Fluid−Structure Interaction of Thin-walled Flexible Structures N2 - Structures under wind action can exhibit various aeroelastic interaction phenomena, which can lead to destructive and catastrophic events. Such unstable interaction can be beneficially used for small-scale aeroelastic energy harvesting. Proper understanding and prediction of fluid−structure interactions (FSI) phenomena are therefore crucial in many engineering fields. This research intends to develop coupled FSI models to extend the applicability of Vortex Particle Methods (VPM) for numerically analysing the complex FSI of thin-walled flexible structures under steady and fluctuating incoming flows. In this context, the flow around deforming thin bodies is analysed using the two-dimensional and pseudo-three-dimensional implementations of VPM. The structural behaviour is modelled and analysed using the Finite Element Method. The partitioned coupling approach is considered because of the flexibility of using different mathematical procedures for solving fluid and solid mechanics. The developed coupled models are validated with several benchmark FSI problems in the literature. Finally, the models are applied to several fundamental and application field of FSI problems of different thin-walled flexible structures irrespective of their size. T3 - Schriftenreihe des Instituts für Konstruktiven Ingenieurbau - 37 KW - Windenergie KW - Numerisches Verfahren KW - Energieerzeugung KW - Computational wind engineering KW - Aeroelastic instabilities KW - Coupled numerical methods KW - Thin-walled structures KW - Aeroelastic energy harvesting Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20230703-64042 UR - https://asw-verlage.de/katalog/partitioned_algorithms_using_vor-2372.html SN - 978-3-95773-297-2 PB - arts + science weimar GmbH CY - Weimar ER - TY - RPRT A1 - Müller, Christoph A1 - Seidel, Maik A1 - Ludwig, Horst-Michael A1 - Müller, Matthias T1 - Prüfung des Frost-Tausalz-Widerstandes von Beton für die Expositionsklasse XF2 N2 - In cold and moderate climates concrete can be subjected to a combined salt frost attack, which can cause scaling damage. Consequently, numerous test procedures were developed to determine the resistance of concrete compositions against this kind of attack. These tests typically mimic a severe attack with high levels of saturation, e.g. as for concrete pavements. Very few approaches exist for testing the salt frost scaling resistance of concretes, which are subjected only to medium levels of saturation, as such concrete elements typically don’t show notable scaling damage. However, the increasing use of low carbon cements with high clinker substitution rates might affect the salt frost scaling resistance of such concrete elements to some extent. To ensure adequate durability of such concretes it is thus desirable to determine their performance in an actual test procedure instead of relying on past experience. Thus, less severe test methods was developed, which are based on the Slab test and the CDF test, repectively. N2 - In kalten und gemäßigten Klimazonen kann Beton einem kombinierten Frost-Tausalz-Angriff ausgesetzt sein, der zu Schäden in Form von Abwitterungen führen kann. Daher wurden zahlreiche Prüfverfahren entwickelt, um die Widerstandsfähigkeit von Betonzusammensetzungen gegen diese Art des Angriffs zu bestimmen. Diese Tests simulieren in der Regel einen starken Angriff mit hohen Sättigungsgraden, wie z. B. bei Betonfahrbahnen. Es gibt nur sehr wenige Ansätze für die Prüfung des Widerstands von Betonen, die nur einem mittleren Sättigungsgrad ausgesetzt sind, da solche Betonelemente in der Regel keine nennenswerten Abwitterungen aufweisen. Die zunehmende Verwendung von klinkereffizienten Zementen könnte sich jedoch in gewissem Maße auf den Frost-Tausalz-Widerstand solcher Betonelemente auswirken. Um eine angemessene Dauerhaftigkeit zu gewährleisten ist es daher wünschenswert, ihre Leistungsfähigkeit in einem tatsächlichen Prüfverfahren zu ermitteln, anstatt sich auf Erfahrungswerte zu verlassen. Daher wurden Ansätze für abgeschwächte Prüfverfahren entwickelt, die auf dem Slab-Test bzw. dem CDF-Test beruhen. KW - Beton KW - Frost KW - Prüfverfahren KW - Beton KW - Frost-Tausalz-Widerstand KW - XF2 KW - CDF KW - Slab-Test Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20240226-48877 ER - TY - CHAP A1 - Dokhanchi, Najmeh Sadat ED - Arnold, Jörg T1 - Reconstruction of the indoor air temperature distribution using acoustic travel-time tomography N2 - Acoustic travel-time tomography (ATOM) is being increasingly considered recently as a remote sensing methodology to determine the indoor air temperatures distribution. It employs the relationship between the sound velocities along sound-paths and their related travel-times through measured room-impulse-response (RIR). Thus, the precise travel-time estimation is of critical importance which can be performed by applying an analysis time-window method. In this study, multiple analysis time-windows with different lengths are proposed to overcome the challenge of accurate detection of the travel-times at RIR. Hence, the ATOM-temperatures distribution has been measured at the climate chamber lab of the Bauhaus-University Weimar. As a benchmark, the temperatures of NTC thermistors are compared to the reconstructed temperatures derived from the ATOM technique illustrating this technique can be a reliable substitute for traditional thermal sensors. The numerical results indicate that the selection of an appropriate analysis time-window significantly enhances the accuracy of the reconstructed temperatures distribution. KW - Bauphysik KW - Akustische Laufzeit-Tomographie KW - Acoustic Travel-Time Tomography KW - Bauklimatik Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20220622-46593 ER - TY - CHAP A1 - Alsaad, Hayder A1 - Völker, Conrad T1 - Measuring and visualizing the flow supplied by personalized ventilation T2 - Proceedings Book Roomvent 2020 N2 - This study investigates the flow supplied by personalized ventilation (PV) by means of anemometer measurements and schlieren visualization. The study was conducted using a thermal manikin to simulate a seated occupant facing a PV outlet. Air velocity was measured at multiple points in the flow field; the collected velocity values were used to calculate the turbulence intensity. Results indicated that PV was supplying air with low turbulence intensity that was able to penetrate the convective boundary layer of the manikin to supply clean air for inhalation. The convective boundary layer, however, obstructed the supplied flow and reduced its velocity by a total of 0.26 m/s. The PV flow preserved its value until about 10 cm from the face where velocity started to drop. Further investigations were conducted to test a PV diffuser with a relatively large outlet diameter (18 cm). This diffuser was developed using 3d-modelling and 3d-printing. The diffuser successfully distributed the flow over the larger outlet area. However, the supplied velocity and turbulence fields were not uniform across the section. KW - Belüftung KW - Luftqualität KW - Personalized ventilation KW - Schlieren imaging KW - Air quality KW - Thermal manikin Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20220622-46573 CY - Turin, Italy ER - TY - THES A1 - Pereyra, Ailén Suyai T1 - Continuidades, tensiones y rupturas en las prácticas del habitar, en el marco de las transformaciones de barrios ‘tradicionales’. El Caso de barrio Güemes 2000-2016 T1 - Continuities, tensions and breakdowns in the inhabit practices, in the framework of the transformations of 'traditional' neighborhoods. The case of Güemes neighborhood 2000-2016 N2 - El presente trabajo se inscribe en el campo de los estudios urbanos y plantea como ejes estructurantes la intersección entre las políticas públicas, el barrio y las prácticas del habitar (de Certeau, 1996, 1999; Gravano, 2003) en el marco de las transformaciones del espacio urbano en los barrios pericentrales, también denominados tradicionales de la ciudad de Córdoba, particularmente lo acontecido en Barrio Güemes, durante el periodo 2010-2016. El propósito del abordaje se inscribe en conocer y realizar aportes generalizables a la comprensión de las prácticas del habitar como unidad de análisis. En ese marco, el problema de investigación se formula en el siguiente interrogante: ¿cómo se modifican las prácticas del habitar en el marco de las transformaciones urbanas, en un modo de producción capitalista? Se entiende a las prácticas como acciones elementales de las “artes de hacer” que las personas ordinarias ponen en marcha en su vida cotidiana: para circular, cocinar, trabajar, vincularse. También, a través de las mismas resignifican los espacios, les otorgan una valoración (positiva o negativa), se identifican como parte de la identidad y a su vez se reconocen lugares de (des)encuentro y vías de circulación. Para su abordaje se toma como unidad de estudio el caso de barrio Güemes. El recorte espacial (o físico) del trabajo empírico está localizado en la ciudad de Córdoba, y se sitúa en la periferia del área central. Esta localización permite comprender el surgimiento de las primeras expansiones urbanas como consecuencia del crecimiento demográfico y cómo estas, se transformaron en los primeros barrios. El recorte temporal se encuentra delimitado entre los años 2000 y 2016, respaldado intencionalmente por dos acontecimientos significativos: el censo de población (2001) y la celebración del Bicentenario de la Independencia en Argentina. Los cambios materializados en ciertos espacios urbanos, tanto en ciudades latinoamericanas (Buenos Aires, Salvador de Bahía en Brasil, México Distrito Federal, etc.) como en otras partes del mundo (New Orleans en los Estados Unidos, el distrito de Kreuzberg- Friedrichshain en Berlín, el puerto de Hamburgo en Alemania, etc.) demuestran cómo estos espacios se van transformado acorde al modo de reproducción capitalista. Pues, se trataba de espacios que en algún momento cumplieron funciones económicas-sociales jerarquizadas y luego por la dinámica misma del capitalismo, la sobreacumulación, dejan de ser rentables y pasan a ser espacios “obsoletos”. En ese sentido, la omisión de acciones públicas y/o privadas, la desatención y el crecimiento de situaciones sociales conflictivas (delitos, inseguridad, degradación) en estos espacios, funciona como argumento para que los gobiernos locales comiencen a planear el futuro y modernizarlos. De esta manera, se plantean políticas urbanas con el objetivo de impulsar acciones de renovación o rehabilitación para dinamizar económicamente determinados sectores. Dos elementos discursivos aparecen como posibilitadores del proceso de renovación urbana: el turismo y el patrimonio. En ese sentido, bajo la recuperación patrimonial de ciertos lugares se dinamizan los territorios, por lo que el turismo se vuelve una herramienta económica que produce un excedente de plusvalía. La puesta en valor de bienes tangibles e intangibles atrae la afluencia de visitantes y, a la vez, es rentable económicamente. Ahora bien, muchas veces los proyectos tienen en cuenta las variables morfológicas y físicas, dejando en un segundo plano el impacto en el espacio próximo y las relaciones entre los habitantes con su territorio. Actualmente los espacios elegidos por los municipios para la intervención pública y/o privada son los barrios, puesto que son espacios cercanos al centro y considerados estratégicos. Por lo general, el argumento es la necesidad de rehabilitar/renovar zonas poco aprovechadas o degradadas con el objetivo de mejorar la calidad de vida de la población y dinamizar el sector (Brites, 2017; Guevara, 2012). Desde los 2000 el barrio Güemes asiste a un proceso de crecimiento inusitado. La cantidad de artesanos se disparó y variedad de productos ofrecidos, emergieron los comercios que forman parte de la oferta comercial, gastronómica y cultural del barrio. Hace varios años, presenta nuevos actores económicos que se pueden observar en la apertura de galerías comerciales; ubicadas sobre el eje de las calles Belgrano, Achával Rodríguez, Fructuoso Rivera y la creciente aparición de edificaciones alrededor de la feria artesanal histórica; con la venta y exposición de piezas del arte plástico, gastronomía, negocios de diseñadores cordobeses y hasta la inclusión de la idea del del “desarrollo sustentable” en los techos de las galerías. La modificación del corpus normativo, la aparición de edificación en altura y el boom económico tuvieron como resultado, la valorización del suelo urbano, la retroalimentación en el espacio con el emplazamiento de nuevas actividades comerciales y servicios culturales. A la par, en el espacio barrial se presentan nuevos residentes con otros hábitos y prácticas que ponen en disputa los modos de habitar en el espacio. A riesgo de simplificar, estas transformaciones fueron producto de los cambios políticoideológicos, de los modelos e instrumentos de gestión urbana puestos en juego en los diversos momentos históricos y de las propias prácticas sociales y culturales de los habitantes. De esta manera, se centrará la mirada analítica en las transformaciones de las prácticas del habitar de los pobladores de los Barrios Güemes, en el marco de la metamorfosis del espacio urbano (atravesado por tendencias de mediatización y mercantilización de la experiencia) que conjugó un proceso de intersección y asociatividad entre políticas públicas y expansión inmobiliaria. N2 - This work is part of the field of urban studies and proposes as structuring axes the intersection between public policies, the neighborhood and the inhabit practices (de Certeau, 1996, 1999; Gravano, 2003) in the framework of the transformations of the urban space in the pericentral neighborhoods, also known as traditional neighborhoods in the city of Córdoba, particularly what happened in Barrio Güemes, during the period 2010-2016. The purpose of the approach is inscribed in knowing and making generalizable contributions to the understanding of the inhabit practices as a unit of analysis. In this framework, the research problem is formulated in the following question: how are living practices modified in the framework of urban transformations, in a capitalist mode of production? The practices are understood as elementary actions of the "arts of doing" that ordinary people implement in their daily lives: to circulate, to cook, to work, to connect. Also, through them they resignify the spaces, give them an assessment (positive or negative), identify themselves as part of the identity and, in turn, recognize places of (dis) encounter and circulation path. For this approach, the case of Güemes neighborhood is taken as a unit of study. The spatial (or physical) clipping of the empirical work is located in the city of Córdoba, and is located on the periphery of the central area. This location allows us to understand the emergence of the first urban expansions as a consequence of demographic growth and how these were transformed into the first neighborhoods. The temporary cut is delimited between the years 2000 and 2016, intentionally supported by two significant events: the population census (2001) and the celebration of the Bicentenario de la Independencia de Argentina (Bicentennial of Independence in Argentina). The changes materialized in certain urban spaces, both in Latin American cities (Buenos Aires, Salvador de Bahía in Brazil, Mexico City, etc.) and in other parts of the world (New Orleans in the United States, the district of Kreuzberg-Friedrichshain in Berlin, the port of Hamburg in Germany, etc.) demonstrate how these spaces are transformed according to the capitalist mode of reproduction. Since these were spaces that at some point fulfilled hierarchical economic- social functions and later, due to the very dynamics of capitalism, the over-accumulation, they stopped being profitable and became “obsolete” spaces. In this sense, the omission of public and / or private actions, the neglect and growth of conflictive social situations (crime, insecurity, degradation) in these spaces, works as an argument for local governments to start planning the future and modernizing them. In this way, urban policies are proposed with the aim of promoting renovation or rehabilitation actions to economically boost certain sectors. Two discursive elements appear as enablers of the urban renewal process: tourism and patrimony. In this sense, under the patrimonial recovery of certain places, the territories are made more dynamic, so that tourism becomes an economic tool that produces an excess of surplus value. The punt in value of tangible and intangible assets attracts the influx of visitors and, at the same time, is economically profitable. However, projects often take into account morphological and physical variables, leaving in the background the impact on the nearby space and the relationships between the inhabitants and their territory. Currently the spaces chosen by the municipalities and for public and/or private intervention are the neighborhoods, since they are spaces close to the center and considered strategic. In general, the argument is the need to rehabilitate or renovate little-used or degraded areas in order to improve the quality of life of the population and boost the sector (Brites, 2017; Guevara, 2012). Since the 2000s, the neighborhood has witnessed an unusual growth process. The number of craftsmen skyrocketed and the variety of products offered, the businesses that are part of the commercial, gastronomic and cultural offer of the neighborhood emerged. For several years, it has introduced new economic actors that can be observed in the opening of commercial galleries; located on the axis of the streets Belgrano, Achával Rodríguez, Fructuoso Rivera and the growing appearance of buildings around the historic artisan fair; where it is sold and exhibited different pieces of plastic art, gastronomy, businesses of cordobes designers and even the inclusion of the idea of "sustainable development" in the ceilings of the galleries. The modification of the normative corpus, the appearance of high-rise buildings and the economic boom resulted in: the valorization of urban land, feedback in space with the location of new commercial activities and cultural services. At the same time, new residents appeared in the neighborhood space with other habits and practices that dispute the ways of living in the place. At the risk of simplification, these transformations were the product of the political-ideological changes, of the urban management models and instruments put into play in the various historical moments, and of the inhabitants' own social and cultural practices. In this way, the analytical look will focus on the transformations of the inhabitat practices of the residents of the Güemes neighbourhood, within the framework of the metamorphosis of the urban space (crossed by tendencies of mediatization and commercialization of the experience) that combined a process of intersection and associativity between public policies and real estate expansion. KW - Stadtviertel KW - Kommerzialisierung KW - barrio KW - Políticas públicas KW - Transformaciones urbanas KW - prácticas del habitar KW - mercantilización KW - Stadtumbau KW - Wohnen Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20220524-46511 UR - https://rdu.unc.edu.ar/handle/11086/21959 ER - TY - THES A1 - Fauth, Judith T1 - A process-oriented decision model for determining the permitability of construction projects N2 - In recent years, the discussion of digitalization has arrived in the media, at conferences, and in committees of the construction and real estate industry. While some areas are producing innovations and some contributors can be described as pioneers, other topics still show deficits with regard to digital transformation. The building permit process can also be counted in this category. Regardless of how architects and engineers in planning offices rely on innovative methods, building documents have so far remained in paper form in too many cases, or are printed out after electronic submission to the authority. Existing resources – for example in the form of a building information model, which could provide support in the building permit process – are not being taken advantage of. In order to use digital tools to support decision-making by the building permit authorities, it is necessary to understand the current situation and to question conditions before pursuing the overall automation of internal authority processes as the sole solution. With a substantive-organizational consideration of the relevant areas that influence building permit determination, an improvement of the building permit procedure within authorities is proposed. Complex areas – such as legal situations, the use of technology, as well as the subjective alternative action – are determined and structured. With the development of a model for the determination of building permitability, both an understanding of influencing factors is conveyed and an increase in transparency for all parties involved is created. In addition to an international literature review, an empirical study served as the research method. The empirical study was conducted in the form of qualitative expert interviews in order to determine the current state in the field of building permit procedures. The collected data material was processed and subsequently subjected to a software-supported content analysis. The results were processed, in combination with findings from the literature review, in various analyses to form the basis for a proposed model. The result of the study is a decision model that closes the gap between the current processes within the building authorities and an overall automation of the building permit review process. The model offers support to examiners and applicants in determining building permit eligibility, through its process-oriented structuring of decision-relevant facts. The theoretical model could be transferred into practice in the form of a web application. KW - Baugenehmigung KW - Entscheidungsmodell KW - Bauantrag KW - Prozessmanagement KW - Projektmanagement KW - Building permit KW - Building application KW - Decision-making KW - Process management KW - Project management Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20220309-46020 UR - https://e-pub.uni-weimar.de/opus4/frontdoor/index/index/docId/4509 N1 - This work is a translation of the original dissertation (German language) which is accessible at: https://doi.org/10.25643/bauhaus-universitaet.4509 and deposited here as URL link. ER - TY - JOUR A1 - Mehling, Simon A1 - Schnabel, Tobias A1 - Londong, Jörg T1 - Photocatalytic ozonation in an immersion rotary body reactor for the removal of micro-pollutants from the effluent of wastewater treatment plants JF - Water Science & Technology N2 - Carrier-bound titanium dioxide catalysts were used in a photocatalytic ozonation reactor for the degradation of micro-pollutants in real wastewater. A photocatalytic immersion rotary body reactor with a 36-cm disk diameter was used, and was irradiated using UV-A light-emitting diodes. The rotating disks were covered with catalysts based on stainless steel grids coated with titanium dioxide. The dosing of ozone was carried out through the liquid phase via an external enrichment and a supply system transverse to the flow direction. The influence of irradiation power and ozone dose on the degradation rate for photocatalytic ozonation was investigated. In addition, the performance of the individual processes photocatalysis and ozonation were studied. The degradation kinetics of the parent compounds were determined using liquid chromatography tandem mass spectrometry. First-order kinetics were determined for photocatalysis and photocatalytic ozonation. A maximum reaction rate of the reactor was determined, which could be achieved by both photocatalysis and photocatalytic ozonation. At a dosage of 0.4 mg /mg DOC, the maximum reaction rate could be achieved using 75% of the irradiation power used for sole photocatalysis, allowing increases in the energetic efficiency of photocatalytic wastewater treatment processes. The process of photocatalytic ozonation is suitable to remove a wide spectrum of micro-pollutants from wastewater. KW - Abwasserreinigung KW - Fotokatalyse KW - Mikroverunreinigungen KW - anthropogenic micro-pollutants KW - photocatalysis KW - photocatalytic ozonation KW - wastewater treatment KW - titan dioxide Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20220209-45865 UR - https://iwaponline.com/wst/article/85/1/535/85800/Photocatalytic-ozonation-in-an-immersion-rotary VL - 2022 IS - volume 85, issue 1 SP - 535 EP - 548 PB - IWA Publishing CY - London ER - TY - JOUR A1 - Legatiuk, Anastasiia A1 - Gürlebeck, Klaus A1 - Hommel, Angela T1 - Estimates for the discrete fundamental solution of the discrete Laplace operator on a rectangular lattice JF - Mathematical Methods in the Applied Sciences N2 - This paper presents numerical analysis of the discrete fundamental solution of the discrete Laplace operator on a rectangular lattice. Additionally, to provide estimates in interior and exterior domains, two different regularisations of the discrete fundamental solution are considered. Estimates for the absolute difference and lp-estimates are constructed for both regularisations. Thus, this work extends the classical results in the discrete potential theory to the case of a rectangular lattice and serves as a basis for future convergence analysis of the method of discrete potentials on rectangular lattices. KW - diskrete Fourier-Transformation KW - Laplace-Operator KW - discrete fourier transform KW - discrete fundamental solution KW - laplace operator KW - rectangular lattice Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20220209-45829 UR - https://onlinelibrary.wiley.com/doi/full/10.1002/mma.7747 VL - 2021 SP - 1 EP - 23 PB - Wiley CY - Chichester ER -