High-Order, Fast-Direct Methods for Separable Elliptic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0721046 ◽

1984 ◽

Vol 21 (4) ◽

pp. 672-694 ◽

Author(s):

Linda Kaufman ◽

Daniel D. Warner

Keyword(s):

Elliptic Equations ◽

Direct Methods ◽

Download Full-text

A new high-order immersed interface method for solving elliptic equations with imbedded interface of discontinuity

Journal of Computational Physics ◽

10.1016/j.jcp.2007.01.017 ◽

2007 ◽

Vol 225 (1) ◽

pp. 1066-1099 ◽

Author(s):

Xiaolin Zhong

Keyword(s):

Elliptic Equations ◽

Immersed Interface Method ◽

Immersed Interface

Download Full-text

High-order schemes of the finite elements method for second-order elliptic equations in three-dimensional domains. II

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(79)90098-3 ◽

1979 ◽

Vol 19 (5) ◽

pp. 54-61

Author(s):

V.G. Korneev

Keyword(s):

Finite Elements ◽

Elliptic Equations ◽

Three Dimensional ◽

Second Order ◽

Finite Elements Method ◽

High Order Schemes ◽

Second Order Elliptic Equations

Download Full-text

Superconvergence of High Order Finite Difference Schemes Based on Variational Formulation for Elliptic Equations

Journal of Scientific Computing ◽

10.1007/s10915-020-01144-w ◽

2020 ◽

Vol 82 (2) ◽

Author(s):

Hao Li ◽

Xiangxiong Zhang

Keyword(s):

Finite Difference ◽

Elliptic Equations ◽

Variational Formulation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

Download Full-text

On removability of the isolated singularity for solutions of high-order elliptic equations

Complex Variables and Elliptic Equations ◽

10.1080/17476931003728362 ◽

2010 ◽

Vol 55 (5-6) ◽

pp. 525-536 ◽

Author(s):

S. D'Asero

Keyword(s):

Elliptic Equations ◽

Isolated Singularity

Download Full-text

High-order difference schemes for two-dimensional elliptic equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690010108 ◽

1985 ◽

Vol 1 (1) ◽

pp. 71-80 ◽

Author(s):

Murli M. Gupta ◽

Ram P. Manohar ◽

John W. Stephenson

Keyword(s):

Elliptic Equations ◽

Difference Schemes ◽

Two Dimensional ◽

Order Difference

Download Full-text

High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources

Journal of Computational Physics ◽

10.1016/j.jcp.2005.07.022 ◽

2006 ◽

Vol 213 (1) ◽

pp. 1-30 ◽

Author(s):

Y.C. Zhou ◽

Shan Zhao ◽

Michael Feig ◽

G.W. Wei

Keyword(s):

Elliptic Equations ◽

Discontinuous Coefficients ◽

Boundary Method

Download Full-text

On fast direct methods for solving elliptic equations over nonrectangular regions

Applied Mathematics and Computation ◽

10.1016/0096-3003(85)90007-4 ◽

1985 ◽

Vol 16 (1) ◽

pp. 1-17

Author(s):

Mohan K. Kadalbajoo ◽

K.K. Bharadwaj

Keyword(s):

Elliptic Equations ◽

Download Full-text

On the behaviour of solutions of high-order elliptic equations degenerating at infinity

Russian Mathematical Surveys ◽

10.1070/rm1982v037n01abeh003205 ◽

1982 ◽

Vol 37 (1) ◽

pp. 155-156

Author(s):

V A Beloshevskii

Keyword(s):

Elliptic Equations ◽

Download Full-text

High Order Fourier-Spectral Solutions to Self Adjoint Elliptic Equations

Lecture Notes in Computer Science - High Performance Computing for Computational Science - VECPAR 2006 ◽

10.1007/978-3-540-71351-7_29 ◽

2007 ◽

pp. 378-390

Author(s):

Moshe Israeli ◽

Alexander Sherman

Keyword(s):

Elliptic Equations ◽

Download Full-text

On the generalized Um,pf classes of De Giorgi-Ladyzhenskaya-Ural'tseva and pointwise estimates of solutions to high-order elliptic equations via Wolff potentials

Journal of Differential Equations ◽

10.1016/j.jde.2019.11.051 ◽

2020 ◽

Vol 268 (11) ◽

pp. 6778-6820

Author(s):

Igor I. Skrypnik ◽

Mykhailo V. Voitovych

Keyword(s):

Elliptic Equations ◽

Pointwise Estimates ◽

Estimates Of Solutions

Download Full-text