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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:A posteriori error estimate for a WG method of H(curl)-elliptic problems
H(卷曲) 椭圆问题 WG方法 后验误差估计
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2023/4/23
A fast direct solver for elliptic problems on general meshes in 2D
Elliptic equations Fast algorithms Multifrontal methods Hierarchical matrices Sparse matrix
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2015/7/14
We present a fast direct algorithm for solutions to linear systems arising from 2D elliptic equations. We follow the approach in Xia et al. (2009) on combining the multifrontal method with hierarchica...
A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices
Elliptic equations Fast algorithms Nested dissection Hierarchical matrices Sparse matrix
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2015/7/14
We present a fast algorithm for solutions to linear systems arising from three dimensional elliptic problems on a regular Cartesian mesh. We follow the approach of Schmitz and Ying (2012) on combining...
Multilevel Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems with Jump Coefficients
Multilevel preconditioner discontinuous Galerkin methods Crouzeix-Raviart nite elements
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2011/1/19
In this article we develop and analyze two-level and multi-level methods for the
family of Interior Penalty (IP) discontinuous Galerkin (DG) discretizations of second order
elliptic problems with ro...
Coincidence sets in quasilinear elliptic problems of monostable type
Coincidence sets quasilinear elliptic problems of monostable type
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2010/12/7
This paper concerns the formation of a coincidence set for the positive solution of the boundary value problem: −"pu = uq−1 f (a(x)−u) in with u = 0 on @ , where " is a positive pa...
On the Boundary Behaviour, Including Second Order Effects, of Solutions to Singular Elliptic Problems
elliptic problems singular equations boundary behaviour
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2007/12/11
For $\gamma\ge 1$ we consider the solution $u=u(x)$ of the Dirichlet boundary value problem $\Delta u+u^{-\gamma}=0$ in $\Omega$, $u=0$ on $\partial\Omega$. For $\gamma=1$ we find the estimate $$u(x)=...