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On residual-based a posteriori error estimation in hp-FEM
TLDR
A family ηα, α∈[0,1], of residual-based error indicators for the hp-version of the finite element method is presented and analyzed. Expand
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A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
  • B. Wohlmuth
  • Mathematics, Computer Science
  • SIAM J. Numer. Anal.
  • 1 August 2000
TLDR
The mortar finite element method allows the coupling of different discretization schemes and triangulations across subregion boundaries without losing the optimality of the method. Expand
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Discretization Methods and Iterative Solvers Based on Domain Decomposition
  • B. Wohlmuth
  • Computer Science, Mathematics
  • Lecture Notes in Computational Science and…
  • 27 February 2001
TLDR
Discretization Techniques Based on Domain Decomposition.- 1.1 Introduction to Mortar Finite Element Methods with Alternative Lagrange Multiplier Spaces. Expand
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Algorithm 847: Spinterp: piecewise multilinear hierarchical sparse grid interpolation in MATLAB
TLDR
We describe three possible piecewise multilinear hierarchical interpolation schemes in detail and conduct a numerical comparison. Expand
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Residual based a posteriori error estimators for eddy current computation
We consider H (curl ;Ω)-elliptic problems that have been discretized by means of Nedelec's edge elements on tetrahedral meshes. Such problems occur in the numerical computation of eddy currents. FromExpand
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A Local A Posteriori Error Estimator Based on Equilibrated Fluxes
TLDR
We present and analyze a new a posteriori error estimator for lowest order conforming finite elements. Expand
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A new approach for phase transitions in miscible multi-phase flow in porous media
Abstract The tightly coupled, strongly nonlinear nature of non-isothermal multi-phase flow in porous media poses a tough challenge for numerical simulation. This trait is even more pronounced, ifExpand
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A primal–dual active set strategy for non-linear multibody contact problems
Abstract Non-conforming domain decomposition methods provide a powerful tool for the numerical approximation of partial differential equations. For the discretization of a non-linear multibodyExpand
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A stable Lagrange multiplier space for stiff interface conditions within the extended finite element method
This paper introduces a new algorithm to define a stable Lagrange multiplier space to impose stiff interface conditions within the context of the extended finite element method. In contrast toExpand
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A Reduced Basis Method for Parametrized Variational Inequalities
TLDR
We propose a reduced basis variational inequality scheme in a saddle point form and prove existence and uniqueness of the solution. Expand
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