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On a hybrid boundary element method
Numerische Mathematik, 2000The author provides a fairly rigorous and elegant numerical analysis of a hybrid boundary element method which is already in use in some applications. He combines the advantages of the direct and indirect boundary integral formulations, furnishes a stability condition and the subsequent error estimate.
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2015
This chapter provides an introduction to the iso-geometric Boundary Element Method (BEM). The standard iso-geometric BEM is presented first and then isometric concepts are introduced. Both plane and 3-D problems are discussed and details of implementation given. The method is extended to non-homogeneous and non-linear problems.
Gernot Beer, Benjamin Marussig
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This chapter provides an introduction to the iso-geometric Boundary Element Method (BEM). The standard iso-geometric BEM is presented first and then isometric concepts are introduced. Both plane and 3-D problems are discussed and details of implementation given. The method is extended to non-homogeneous and non-linear problems.
Gernot Beer, Benjamin Marussig
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1984
An operator is a process which applied to a function or a set of functions produces another function, i.e., $$[{\rm{L(u) = b}}$$ (1) where L(u) is the operator which applied to u produces b; u and b may be scalars or vectors; L( ) may be an ordinary differential operator such as $$[{\rm{L( ) = }}{{\rm{a}}_0}\frac{{{{\rm{d}}^{\rm{2}}}()}}{{
J. J. Connor, C. A. Brebbia
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An operator is a process which applied to a function or a set of functions produces another function, i.e., $$[{\rm{L(u) = b}}$$ (1) where L(u) is the operator which applied to u produces b; u and b may be scalars or vectors; L( ) may be an ordinary differential operator such as $$[{\rm{L( ) = }}{{\rm{a}}_0}\frac{{{{\rm{d}}^{\rm{2}}}()}}{{
J. J. Connor, C. A. Brebbia
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2008
Abstract The boundary-element method is a powerful technique for solving partial differential equations encountered in various branches of computational physics and engineering. Examples include Laplace’s equation, Helmholtz’s equation, the convection–diffiusion equation, the equations of potential and viscous flow, the equations of ...
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Abstract The boundary-element method is a powerful technique for solving partial differential equations encountered in various branches of computational physics and engineering. Examples include Laplace’s equation, Helmholtz’s equation, the convection–diffiusion equation, the equations of potential and viscous flow, the equations of ...
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Recent Advances in Boundary Element Methods
Computational Methods in Applied Mathematics, 2023Ulrich Langer, Olaf Steinbach
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2014
This chapter gives an outline of acoustic analysis using the boundary element method (BEM). In the first section, the fundamentals of the BEM and its application to sound field analysis are explained. The second section presents two advanced techniques, the indirect approach with degenerate boundary and the domain decomposition method.
Yosuke Yasuda, Tetsuya Sakuma
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This chapter gives an outline of acoustic analysis using the boundary element method (BEM). In the first section, the fundamentals of the BEM and its application to sound field analysis are explained. The second section presents two advanced techniques, the indirect approach with degenerate boundary and the domain decomposition method.
Yosuke Yasuda, Tetsuya Sakuma
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1994
The Boundary Element Method presented in this chapter brings together the work on ordinary integral equations and their extension to boundary integral equations — set out in Chapters 1 and 2 — to produce a complete, but brief, exposition of the method in its simplest form.
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The Boundary Element Method presented in this chapter brings together the work on ordinary integral equations and their extension to boundary integral equations — set out in Chapters 1 and 2 — to produce a complete, but brief, exposition of the method in its simplest form.
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1996
Boundary element methods are recent developments in computational mathematics for solving boundary value problems in various branches of science and technology. These methods evolved from integral equation methods which are known as boundary integral equation methods (BIEM’s).
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Boundary element methods are recent developments in computational mathematics for solving boundary value problems in various branches of science and technology. These methods evolved from integral equation methods which are known as boundary integral equation methods (BIEM’s).
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