Results 181 to 190 of about 12,638,036 (224)
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1977
Consider a separable Hilbert space H and a set M of its elements which is dense in H. According to Theorem 6.18, p. 79, if for some element u ∈ H $$\left( {u,v} \right) = 0\,\,\,holds\,for\,every\,\,\,v \in M,$$ (14.1) then it follows that u = 0 in H. Let now $${\varphi _1},{\varphi _2},\,...$$ (14.2) be a base in H. The assertion is
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Consider a separable Hilbert space H and a set M of its elements which is dense in H. According to Theorem 6.18, p. 79, if for some element u ∈ H $$\left( {u,v} \right) = 0\,\,\,holds\,for\,every\,\,\,v \in M,$$ (14.1) then it follows that u = 0 in H. Let now $${\varphi _1},{\varphi _2},\,...$$ (14.2) be a base in H. The assertion is
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1973
The aim of the following chapters is to study the approximation of the solution of problem (1.2). To begin with, we present here the method of Galerkin and we will see how this leads to an approximate solution of Equation (1.2).
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The aim of the following chapters is to study the approximation of the solution of problem (1.2). To begin with, we present here the method of Galerkin and we will see how this leads to an approximate solution of Equation (1.2).
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C0 — Collocation — Galerkin methods
1979A C0-Collocation-Galerkin (C0-C-G) method is formulated and analyzed for finite element solution of linear and nonlinear singular boundary-value problems. Theoretical error estimates are ascertained for both the linear problems and a specific class of nonlinear problems.
Graham F. Carey, Mary F. Wheeler
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Galerkin Methods for Parabolic Equations
SIAM Journal on Numerical Analysis, 1970Galerkin-type methods, both continuous and discrete in time, are considered for approximating solutions of linear and nonlinear parabolic problems. Bounds reducing the estimation of the error to questions in approximation theory are derived for the several methods studied.
Douglas, Jim jun., Dupont, Todd
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A Multiscale Discontinuous Galerkin Method
2006We propose a new class of Discontinuous Galerkin (DG) methods based on variational multiscale ideas. Our approach begins with an additive decomposition of the discontinuous finite element space into continuous (coarse) and discontinuous (fine) components.
Pavel B. Bochev +2 more
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Galerkin method for discs capacitors
Mathematics and Computers in Simulation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2018
The Galerkin method is a very general framework of methods which is very robust. The idea is as follows. Starting from a variational problem set in an infinite dimensional space, a sequence of finite dimensional approximation spaces is defined. The corresponding finite dimensional approximated problems are then solved, which is usually easier to do ...
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The Galerkin method is a very general framework of methods which is very robust. The idea is as follows. Starting from a variational problem set in an infinite dimensional space, a sequence of finite dimensional approximation spaces is defined. The corresponding finite dimensional approximated problems are then solved, which is usually easier to do ...
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Discrete Wavelet Petrov–Galerkin Methods
Advances in Computational Mathematics, 2002The authors developed a discrete wavelet Petrov-Galerkin (DWPG) method for integral equations of the second kind with weakly singular kernels. This class of equations arises from the reformulation of boundary value problems of partial differential equations as integral equations.
Zhongying Chen +2 more
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A wavelet Galerkin method for the stokes equations
Computing, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wolfgang Dahmen +2 more
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An iterative analog of galerkin's method
Ukrainian Mathematical Journal, 1989See the review in Zbl 0671.47059.
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