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681.3*G18 --- 519.6 --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Computational mathematics. Numerical analysis. Computer programming --- Finite element method --- Data processing. --- MATLAB. --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Data processing --- MATLAB (Computer program) --- Matrix laboratory --- 681.3 *G18 --- MATLAB (Computer file)

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Numerical solutions of differential equations --- Partial differential equations --- 681.3 *G18 --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis)

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Dit proefschrift beschrijft de ontwikkeling van golfgebaseerde modelleringstechnieken voor het analyseren van stationaire vibro-akoestische problemen. Vaak worden klassieke elementgebaseerde methoden, zoals de eindige-elementenmethode (EEM) en de randelementenmethode (REM), toegepast voor de analyse van dit type van problemen. De toepasbaarheid van de elementgebaseerde methoden is echter beperkt tot het laagfrequente gebied. De golfgebaseerde methode (GBM) is een alternatieve methode die gebaseerd is op een indirecte Trefftz benadering. De GBM is rekenkundig zeer efficiënt, waardoor de methode ook toepasbaar is voor het analyseren van problemen bij hogere frequenties. Dit proefschrift rapporteert over de ontwikkeling van een uitbreiding van de GBM voor het behandelen van akoestische problemen bestaande uit meerdere subdomeinen en voor het analyseren van problemen in oneindige fluïda. De efficiëntie van de GBM is het meest uitgesproken voor problemen met een bescheiden geometrische complexiteit. Een hybride eindige-elementen-golfgebaseerde methode combineert de sterke punten van de twee technieken, namelijk de hoge rekenkundige efficiëntie van de GBM en de toepasbaarheid van de EEM voor problemen met een willekeurige geometrische complexiteit. Numerieke validatievoorbeelden tonen het verhoogde prestatievermogen aan van zowel de uitgebreide GBM voor problemen met een bescheiden geometrische complexiteit, als van de hybride methode voor levensechte ingenieurstoepassingen. This dissertation considers the development of wave based prediction methods for the analysis of steady-state vibro-acoustic problems. Conventional element based prediction methods, such as the finite element method (FEM), are commonly used, but are restricted to low-frequency applications. The wave based method (WBM) is an alternative deterministic technique which is based on the indirect Trefftz approach. The WBM is computationally very efficient, allowing the analysis of problems at higher frequencies. This dissertation reports on an extension of the WBM to multi-domain acoustic problems and problems involving unbounded acoustic fluid domains, such as transmission, scattering and radiation problems. The efficiency of the WBM is most pronounced for problems of moderate geometrical complexity. A hybrid finite element-wave based method combines the strengths of the two methods, namely, the high computational efficiency of the WBM and the ability of the FEM to model problems of arbitrary geometrical complexity. Numerical validation examples show the enhanced computational efficiency of the WBM for problems of moderate geometrical complexity and of the hybrid method for real-life engineering problems. De steeds strenger wordende wettelijke reglementeringen inzake menselijke blootstelling aan trillingen en lawaai en de steeds hogere comforteisen van hun klanten zijn de twee belangrijkste redenen waarom fabrikanten meer en meer belang hechten aan het verbeteren van het trillings- en lawaai-opwekkende gedrag van hun producten. Om dit zogenaamde vibro-akoestische gedrag op een goedkope en efficiënte manier te bestuderen en te verbeteren, wordt in een moderne ontwerpomgeving steeds vaker gebruik gemaakt van computermodellen. Met deze computermodellen kan een ontwerpingenieur voorspellen hoeveel lawaai en hoeveel trillingen zijn product zal veroorzaken. De technieken die momenteel bestaan om zulke computermodellen te maken, zijn echter niet altijd bruikbaar en leveren niet altijd alle gewenste informatie. Daarom zijn er in dit doctoraatswerk nieuwe technieken ontwikkeld die de beperkingen van de bestaande technieken voor een groot deel opheffen. Hierdoor kunnen computermodellen nog efficiënter gebruikt worden bij het voorspellen en verbeteren van het vibro-akoestische gedrag van een product.

Academic collection --- 681.3*G18 <043> --- 534 <043> --- 534 <043> Vibrations. Acoustics--Dissertaties --- Vibrations. Acoustics--Dissertaties --- 681.3*G18 <043> Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis)--Dissertaties --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis)--Dissertaties --- Theses

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Fluid-structure interactions (FSI), i.e., the interplay of some moveable or deformable structure with an internal or surrounding fluid, are among the most widespread and most challenging coupled or multi-physics problems. Although much has been accomplished in developing good computational FSI methods and despite convincing solutions to a number of classes of problems including those presented in this book, there is a need for more comprehensive studies showing that the computational methods proposed are reliable, robust, and efficient beyond the classes of problems they have successfully been applied to.This volume of LNCSE, a sequel to vol. 53, which contained, among others, the first numerical benchmark for FSI problems and has received considerable attention since then, presents a collection of papers from the "First International Workshop on Computational Engineering - special focus FSI," held in Herrsching in October 2009 and organized by three DFG-funded consortia. The papers address all relevant aspects of FSI simulation and discuss FSI from the mathematical, informatical, and engineering perspective.

Mathematics. --- Computational Science and Engineering. --- Theoretical, Mathematical and Computational Physics. --- Appl.Mathematics/Computational Methods of Engineering. --- Computer science. --- Engineering mathematics. --- Mathématiques --- Informatique --- Mathématiques de l'ingénieur --- Fluid-structure interaction. --- 681.3*G18 --- 519.63 --- Structure-fluid interaction --- Fluid dynamics --- Structural dynamics --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Numerical methods for solution of partial differential equations --- 519.63 Numerical methods for solution of partial differential equations --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Fluid-structure interaction --- 681.3 *G18

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As a satellite conference of the 1998 International Mathematical Congress and part of the celebration of the 650th anniversary of Charles University, the Partial Differential Equations Theory and Numerical Solution conference was held in Prague in August, 1998. With its rich scientific program, the conference provided an opportunity for almost 200 participants to gather and discuss emerging directions and recent developments in partial differential equations (PDEs).This volume comprises the Proceedings of that conference. In it, leading specialists in partial differential equations, calculus of variations, and numerical analysis present up-to-date results, applications, and advances in numerical methods in their fields. Conference organizers chose the contributors to bring together the scientists best able to present a complex view of problems, starting from the modeling, passing through the mathematical treatment, and ending with numerical realization. The applications discussed include fluid dynamics, semiconductor technology, image analysis, motion analysis, and optimal control.The importance and quantity of research carried out around the world in this field makes it imperative for researchers, applied mathematicians, physicists and engineers to keep up with the latest developments. With its panel of international contributors and survey of the recent ramifications of theory, applications, and numerical methods, Partial Differential Equations: Theory and Numerical Solution provides a convenient means to that end.

Differential equations, Partial --- 519.63 --- 681.3*G18 --- 517.95 --- Numerical methods for solution of partial differential equations --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations --- 517.95 Partial differential equations --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.63 Numerical methods for solution of partial differential equations --- 681.3 *G18 --- Differential equations, Partial - Congresses