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The immersed interface method for elliptic equations with discontinuous coefficients and singular sources.
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources, SIAM J. Numer.
We derive an explicit expression for the penalty parameter of the interior penalty method for elliptic problems.
This paper presents a new high-order immersed interface method for elliptic equations with imbedded interface of discontinuity.
This study addresses a new fictitious domain method for elliptic problems in order to handle general and possibly mixed embedded boundary conditions (E.B.C .: Robin, Neumann and Dirichlet conditions on an immersed interface.
We take the advantages of the high accuracy, flexibility and robustness of the matched interface and boundary (MIB) method to construct an adaptively deformed mesh based interface method for elliptic equations with discontinuous coefficients.
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High-order methods for elliptic equations with multi-material interfaces have not been reported in the literature to our knowledge.
Spectral multigrid methods for elliptic problems with Dirichlet and periodic boundary conditions are examined.
We present an overview of the recent development on numerical methods for elliptic problems with multiscale coefficients.
The objective of this paper is to present a new framework for the design of discontinuous Galerkin (dG) methods for elliptic problems.
We consider a scalable implementation of multigrid methods for elliptic problems for fusion simulations on current and future high performance computer (HPC) architectures.
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