Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity

Foundations of Computational Mathematics ◽

10.1007/s10208-021-09527-7 ◽

2021 ◽

Author(s):

Alexandre Ern ◽

Jean-Luc Guermond

Keyword(s):

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A robust solver for elliptic PDEs in 3D complex geometries

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110511 ◽

2021 ◽

pp. 110511

Author(s):

Matthew J. Morse ◽

Abtin Rahimian ◽

Denis Zorin

Keyword(s):

Elliptic Pdes ◽

Complex Geometries

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Two-grid IPDG discretization scheme for nonlinear elliptic PDEs

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2020.105587 ◽

2020 ◽

pp. 105587

Author(s):

Liuqiang Zhong ◽

Liangliang Zhou ◽

Chunmei Liu ◽

Jie Peng

Keyword(s):

Elliptic Pdes ◽

Discretization Scheme ◽

Nonlinear Elliptic

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On certain degenerate and singular elliptic PDEs III: Nondivergence form operators and RH∞-weights

Journal of Differential Equations ◽

10.1016/j.jde.2021.01.037 ◽

2021 ◽

Vol 280 ◽

pp. 805-840

Author(s):

Diego Maldonado

Keyword(s):

Elliptic Pdes ◽

Nondivergence Form

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An unfitted RBF-FD method in a least-squares setting for elliptic PDEs on complex geometries

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110283 ◽

2021 ◽

pp. 110283

Author(s):

Igor Tominec ◽

Eva Breznik

Keyword(s):

Least Squares ◽

Elliptic Pdes ◽

Complex Geometries

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The Variational Formulation of Elliptic PDEs

International Series of Numerical Mathematics - Partial Differential Equations: Modeling, Analysis and Numerical Approximation ◽

10.1007/978-3-319-27067-8_4 ◽

2016 ◽

pp. 117-143

Author(s):

Hervé Le Dret ◽

Brigitte Lucquin

Keyword(s):

Variational Formulation ◽

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Compressed solving: A numerical approximation technique for elliptic PDEs based on Compressed Sensing

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.07.015 ◽

2015 ◽

Vol 70 (6) ◽

pp. 1306-1335 ◽

Author(s):

S. Brugiapaglia ◽

S. Micheletti ◽

S. Perotto

Keyword(s):

Compressed Sensing ◽

Numerical Approximation ◽

Elliptic Pdes ◽

Approximation Technique

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Combination approach of domain-type and boundary-type meshless methods for solving hybrid boundary-value problem of homogeneous and inhomogeneous elliptic PDEs

2016 IEEE Conference on Electromagnetic Field Computation (CEFC) ◽

10.1109/cefc.2016.7816282 ◽

2016 ◽

Author(s):

Ayumu Saitoh ◽

Teruou Takayama ◽

Atsushi Kamitani

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Meshless Methods ◽

Elliptic Pdes ◽

Boundary Type ◽

Domain Type ◽

Combination Approach

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Kolmogorov widths and low-rank approximations of parametric elliptic PDEs

Mathematics of Computation ◽

10.1090/mcom/3132 ◽

2016 ◽

Vol 86 (304) ◽

pp. 701-724 ◽

Author(s):

Markus Bachmayr ◽

Albert Cohen

Keyword(s):

Low Rank ◽

Elliptic Pdes ◽

Low Rank Approximations ◽

Kolmogorov Widths

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Combinatorial optimal control of semilinear elliptic PDEs

Computational Optimization and Applications ◽

10.1007/s10589-018-9993-2 ◽

2018 ◽

Vol 70 (3) ◽

pp. 641-675 ◽

Author(s):

Christoph Buchheim ◽

Renke Kuhlmann ◽

Christian Meyer

Keyword(s):

Optimal Control ◽

Elliptic Pdes ◽

Semilinear Elliptic ◽

Semilinear Elliptic Pdes

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Stochastic Collocation for Elliptic PDEs with Random Data: The Lognormal Case

Lecture Notes in Computational Science and Engineering - Sparse Grids and Applications - Munich 2012 ◽

10.1007/978-3-319-04537-5_2 ◽

2014 ◽

pp. 29-53 ◽

Author(s):

Oliver G. Ernst ◽

Björn Sprungk

Keyword(s):

Elliptic Pdes ◽

Stochastic Collocation ◽

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