Search Results - "BRAMBLE, James H"

Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems by Bramble, James H., Pasciak, Joseph E.

“…We consider the approximation of the frequency domain three-dimensional Maxwell scattering problem using a truncated domain perfectly matched layer (PML). We…”
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Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem by Bramble, James H., Pasciak, Joseph E.

“…In our paper [Math. Comp. 76, 2007, 597--614] we considered the acoustic and electromagnetic scattering problems in three spatial dimensions. In particular, we…”
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Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems by Bramble, James H., Pasciak, Joseph E., Vassilev, Apostol T.

“…In this paper, we consider the so-called "inexact Uzawa" algorithm for iteratively solving linear block saddle point problems. Such saddle point problems…”
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The approximation of the Maxwell eigenvalue problem using a least-squares method by BRAMBLE, James H, KOLEV, Tzanio V, PASCIAK, Joseph E

“…In this paper we consider an approximation to the Maxwell's eigenvalue problem based on a very weak formulation of two div-curl systems with complementary…”
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Regularity estimates for elliptic boundary value problems in Besov spaces by Constantin Bacuta, Bramble, James H., Xu, Jinchao

“…We consider the Dirichlet problem for Poisson's equation on a nonconvex plane polygonal domain \Omega. New regularity estimates for its solution in terms of…”
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ANALYSIS OF A FINITE PML APPROXIMATION TO THE THREE DIMENSIONAL ELASTIC WAVE SCATTERING PROBLEM by BRAMBLE, JAMES H., PASCIAK, JOSEPH E., TRENEV, DIMITAR

“…We consider the application of a perfectly matched layer (PML) technique to approximate solutions to the elastic wave scattering problem in the frequency…”
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A note on the existence and uniqueness of solutions of frequency domain elastic wave problems : A priori estimates in H by BRAMBLE, James H, PASCIAK, Joseph E

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On the stability of the L^2 projection in H^1(\Omega) by Bramble, James H., Pasciak, Joseph E., Steinbach, Olaf

“…We prove the stability in H^1(\Omega) of the L^2 projection onto a family of finite element spaces of conforming piecewise linear functions satisfying certain…”
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A new approximation technique for div-curl systems by Bramble, James H., Pasciak, Joseph E.

“…In this paper, we describe an approximation technique for div-curl systems based in (L^2(\Omega)^3) where \Omega is a domain in \mathbb{R}^3. We formulate this…”
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A finite element method for interface problems in domains with smooth boundaries and interfaces by Bramble, James H., King, J. Thomas

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Regularity estimates for solutions of the equations of linear elasticity in convex plane polygonal domains by Bacuta, C., Bramble, J. H.

“…The Dirichlet problem for the plane elasticity problem on a convex polygonal domain is considered and it is proved that for data in L2 the H2 regularity…”
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Uzawa type algorithms for nonsymmetric saddle point problems by Bramble, James H., Pasciak, Joseph E., Vassilev, Apostol T.

“…In this paper, we consider iterative algorithms of Uzawa type for solving linear nonsymmetric saddle point problems. Specifically, we consider systems, written…”
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Computational scales of Sobolev norms with application to preconditioning by Bramble, James H., Pasciak, Joseph E., Vassilevski, Panayot S.

“…This paper provides a framework for developing computationally efficient multilevel preconditioners and representations for Sobolev norms. Specifically, given…”
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A least-squares approach based on a discrete minus one inner product for first order systems by Bramble, James H., Lazarov, Raytcho D., Pasciak, Joseph E.

“…The purpose of this paper is to develop and analyze a least-squares approximation to a first order system. The first order system represents a reformulation of…”
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Least-squares methods for linear elasticity based on a discrete minus one inner product by Bramble, James H., Lazarov, Raytcho D., Pasciak, Joseph E.

“…The purpose of this paper is to develop and analyze least-squares approximations for elasticity problems. The major advantage of the least-squares formulation…”
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Uniform Convergence of the Multigrid V-Cycle for an Anisotropic Problem by Bramble, James H., Zhang, Xuejun

“…In this paper, we consider the linear systems arising from the standard finite element discretizations of certain second order anisotropic problems with…”
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Analysis of a Cartesian PML approximation to acoustic scattering problems in R 2 and R 3 by Bramble, James H., Pasciak, Joseph E.

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Using finite element tools in proving shift theorems for elliptic boundary value problems by Bacuta, Constantin, H. Bramble, James, E. Pasciak, Joseph

“…We consider the Laplace equation under mixed boundary conditions on a polygonal domain Ω. Regularity estimates in terms of Sobolev norms of fractional order…”
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Least-squares methods for Stokes equations based on a discrete minus one inner product by Bramble, James H., Pasciak, Joseph E.

“…The purpose of this paper is to develop and analyze least-squares approximations for Stokes and elasticity problems. The major advantage of the least-squares…”
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Uniform convergence of the multigrid {V}-cycle for an anisotropic problem by Bramble, James H., Zhang, Xuejun

“…In this paper, we consider the linear systems arising from the standard finite element discretizations of certain second order anisotropic problems {with…”
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