The lifting scheme: A construction of second generation wavelets
W Sweldens - SIAM journal on mathematical analysis, 1998 - SIAM
We present the lifting scheme, a simple construction of second generation wavelets; these
are wavelets that are not necessarily translates and dilates of one fixed function. Such …
are wavelets that are not necessarily translates and dilates of one fixed function. Such …
[图书][B] Numerical approximation methods for elliptic boundary value problems: finite and boundary elements
O Steinbach - 2007 - books.google.com
This book presents a unified theory of the Finite Element Method and the Boundary Element
Method for a numerical solution of second order elliptic boundary value problems. This …
Method for a numerical solution of second order elliptic boundary value problems. This …
[图书][B] Lecture notes in computational science and engineering
TJ Barth, M Griebel, DE Keyes, RM Nieminen, D Roose… - 2005 - Springer
The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …
models based on differential equations. Initially, the FEniCS Project consisted of two …
Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs
C Schwab, CJ Gittelson - Acta Numerica, 2011 - cambridge.org
Partial differential equations (PDEs) with random input data, such as random loadings and
coefficients, are reformulated as parametric, deterministic PDEs on parameter spaces of …
coefficients, are reformulated as parametric, deterministic PDEs on parameter spaces of …
Adaptive wavelet methods for elliptic operator equations: convergence rates
This paper is concerned with the construction and analysis of wavelet-based adaptive
algorithms for the numerical solution of elliptic equations. These algorithms approximate the …
algorithms for the numerical solution of elliptic equations. These algorithms approximate the …
Wavelet and multiscale methods for operator equations
W Dahmen - Acta numerica, 1997 - cambridge.org
More than anything else, the increase of computing power seems to stimulate the greed for
tackling ever larger problems involving large-scale numerical simulation. As a consequence …
tackling ever larger problems involving large-scale numerical simulation. As a consequence …
Biorthogonal spline wavelets on the interval—stability and moment conditions
This paper is concerned with the construction of biorthogonal multiresolution analyses on [0,
1] such that the corresponding wavelets realize any desired order of moment conditions …
1] such that the corresponding wavelets realize any desired order of moment conditions …
Wavelets on manifolds I: Construction and domain decomposition
W Dahmen, R Schneider - SIAM Journal on Mathematical Analysis, 1999 - SIAM
The potential of wavelets as a discretization tool for the numerical treatment of operator
equations hinges on the validity of norm equivalences for Besov or Sobolev spaces in terms …
equations hinges on the validity of norm equivalences for Besov or Sobolev spaces in terms …
Compression techniques for boundary integral equations---asymptotically optimal complexity estimates
Matrix compression techniques in the context of wavelet Galerkin schemes for boundary
integral equations are developed and analyzed that exhibit optimal complexity in the …
integral equations are developed and analyzed that exhibit optimal complexity in the …
[图书][B] Finite and boundary element tearing and interconnecting solvers for multiscale problems
C Pechstein - 2012 - books.google.com
Tearing and interconnecting methods, such as FETI, FETI-DP, BETI, etc., are among the
most successful domain decomposition solvers for partial differential equations. The …
most successful domain decomposition solvers for partial differential equations. The …