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Boundary Concentrated Finite Element Methods
SIAM Journal on Numerical Analysis, 2003A numerical solution method is presented for elliptic problems with low global Sobolev regularity, when the latter is due to rough boundary data or geometries but the solution has interior regularity. The proposed method is a kind of \(hp\)-finite element method that concentrates most degrees of freedom near the boundary.
Khoromskij, B. N., Melenk, J. M.
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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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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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Adaptive galerkin boundary element methods
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1998AbstractWe present local a‐posteriori error indicators for the Galerkin discretization of boundary integral equations. These error indicators (based on the computable residual) are reliable and efficient under weak assumptions and they can be used for controlling the adaptive mesh refinement.
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1988
Die Bezeichnung Boundary Element Methode (BEM) hat sich international fast ausnahmslos durchgesetzt, so das sie auch im folgenden stellvertretend fur die deutsche Ubersetzung „Randelementmethode“ verwendet werden soll.
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Die Bezeichnung Boundary Element Methode (BEM) hat sich international fast ausnahmslos durchgesetzt, so das sie auch im folgenden stellvertretend fur die deutsche Ubersetzung „Randelementmethode“ verwendet werden soll.
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1995
Abstract What are boundary element methodsã They are methods for the approximate solution of two- or three-dimensional boundary value problems, which rely on casting the problem into the form of an integral equation over the boundary; then chopping the boundary into pieces (‘elements’), on each of which a low-degree polynomial ...
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Abstract What are boundary element methodsã They are methods for the approximate solution of two- or three-dimensional boundary value problems, which rely on casting the problem into the form of an integral equation over the boundary; then chopping the boundary into pieces (‘elements’), on each of which a low-degree polynomial ...
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