Adaptive Refinement and Clustering of H-Matrices (2001)
L. Grasedyck, W. Hackbusch, S. Le Borne
In [4], a class of (data-sparse) H-matrices is introduced which allows an approximate matrix arithmetic of nearly optimal complexity. In several subsequent papers (e.g., [5], [6]), H-matrices were...
Inverse Inequalities on Non-Quasiuniform Meshes and Application to the Mortar Element Method (2001)
I. G. Graham, W. Dahmen, B. Faermann, W. Hackbusch, S. A. Sauter
We present a range of mesh-dependent inequalities for piecewise constant and continuous piecewise linear finite element functions u defined on locally refined shape-regular (but possibly...
Inverse Inequalities on Non-Quasiuniform Meshes and Application to the Mortar Element Method (2001)
W. Dahmen, B. Faermann, W. Hackbusch, S. A. Sauter
We present a range of mesh-dependent inequalities for piecewise constant and continuous piecewise linear nite element functions u dened on locally rened shape-regular (but possibly non-quasiuniform)...
A sparse H-matrix arithmetic: general complexity estimates (1999)
W. Hackbusch, B. N. Khoromskij
In a preceding paper [5], a class of matrices (H-matrices) has been introduced which are data-sparse and allow an approximate matrix arithmetic of almost linear complexity. Several types of...
Fast Integration Techniques in 3D Boundary Elements (1999)
this paper we describe a new procedure ([2, 3]) for computing approximations to Galerkin stiffness matrices using only N
Fast Integration Techniques in 3D Boundary Elements (1998)
this paper we describe a new procedure ([2, 3]) for computing approximations to Galerkin stiness matrices using only N
Fast Integration Techniques in 3D Boundary Elements (1998)
this paper we describe a new procedure ([2, 3]) for computing approximations to Galerkin stiness matrices using only N
A New Finite Element Approach for Problems Containing Small Geometric Details (1998)
. In this paper a new finite element approach is presented which allows the discretization of PDEs on domains containing small micro-structures with extremely few degrees of freedom. The applications...
Hybrid Galerkin Boundary Elements: Theory and Implementation (1998)
In this paper we present a new quadrature method for computing Galerkin stiffness matrices arising from the discretisation of 3D boundary integral equations using continuous piecewise linear boundary...
Discrete Boundary Element Methods on General Meshes in 3D (1997)
I. G. Graham, W. Hackbusch, S. A. Sauter
This paper is concerned with the stability and convergence of fully discrete Galerkin methods for boundary integral equations on bounded piecewise smooth surfaces in R 3 . Our theory covers equations...
Electron scattering states at solid surfaces calculated with realistic potentials (1997)
Lorenz, S., Solterbeck, C., Schattke, W., Burmeister, J., Hackbusch, W.
Scattering states with LEED asymptotics are calculated for a general non-muffin tin potential, as e.g. for a pseudopotential with a suitable barrier and image potential part. The latter applies...
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