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Circular element: Isogeometric elements of smooth boundary
Computer Methods in Applied Mechanics and Engineering, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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1983
In this chapter a general procedure to obtain a numerical approach to solve the integral equations for plane (eqs. 3.3.5 and 3.3.7) and anti-plane (eqs. 4.3.15 and 4.4.1) cases previously formulated, is presented.
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In this chapter a general procedure to obtain a numerical approach to solve the integral equations for plane (eqs. 3.3.5 and 3.3.7) and anti-plane (eqs. 4.3.15 and 4.4.1) cases previously formulated, is presented.
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2010
Finite element and boundary element methods are two important and popular techniques for practical problems in engineering. Many commercial softwares have been developed based upon these two methods. It’s known that the core function of the boundary element method is the fundamental solutions which are derived from Green’s functions – the solutions for
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Finite element and boundary element methods are two important and popular techniques for practical problems in engineering. Many commercial softwares have been developed based upon these two methods. It’s known that the core function of the boundary element method is the fundamental solutions which are derived from Green’s functions – the solutions for
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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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