A construction of multiscale decompositions relative to domains #OMEGA# is contained in R"d is given. Multiscale spaces are constructed on #OMEGA# which retain the important features of univariate multiresolution analysis including local polynomial reproduction and locally supported, stable bases. (orig.)This research was supported by ONR Contract N0014-91-J1343 and a NATO travel grantAvailable from TIB Hannover: RN 8680(113) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman
AbstractWe present an algorithm for constructing stable local bases for the spaces Srd(Δ) of multiva...
We present a new class of coarse spaces for two-level additive Schwarz preconditioners that yield co...
We present an algorithm for constructing stable local bases for the spaces ${\cal S}_d^r(\triangle)$...
Abstract. Recently we developed multiscale spaces of piecewise quadratic polynomials on the Powell...
Abstract. Recently we developed multiscale spaces of C1 piecewise quadratic polynomials on the Powel...
AbstractA convenient setting for studyingmultiscale techniquesin various areas of applications is us...
A convenient setting for studying multiscale techniques in various areas of applications is usually ...
After briefly reviewing the interrelation between Riesz-bases, biorthogonality and a certain stabili...
We investigate interpolatory multiscale transformations for functions between manifolds which are ba...
For each pair (Formula presented.) of positive parameters, we define a perforated domain (Formula pr...
AbstractThe aim of the paper is the construction and the analysis of nonlinear and non-separable mul...
A condition on a scaling function which generates a multiresolution anal-ysis of Lp(Rd) is given. 1....
In this contribution, dual and primal domain decomposition techniques are studied for the multiscale...
Abstract We study a multiscale scheme for the approximation of Sobolev functions on bounded domains....
We propose a multiscale method for elliptic problems on complex domains, e.g. domains with cracks or...
AbstractWe present an algorithm for constructing stable local bases for the spaces Srd(Δ) of multiva...
We present a new class of coarse spaces for two-level additive Schwarz preconditioners that yield co...
We present an algorithm for constructing stable local bases for the spaces ${\cal S}_d^r(\triangle)$...
Abstract. Recently we developed multiscale spaces of piecewise quadratic polynomials on the Powell...
Abstract. Recently we developed multiscale spaces of C1 piecewise quadratic polynomials on the Powel...
AbstractA convenient setting for studyingmultiscale techniquesin various areas of applications is us...
A convenient setting for studying multiscale techniques in various areas of applications is usually ...
After briefly reviewing the interrelation between Riesz-bases, biorthogonality and a certain stabili...
We investigate interpolatory multiscale transformations for functions between manifolds which are ba...
For each pair (Formula presented.) of positive parameters, we define a perforated domain (Formula pr...
AbstractThe aim of the paper is the construction and the analysis of nonlinear and non-separable mul...
A condition on a scaling function which generates a multiresolution anal-ysis of Lp(Rd) is given. 1....
In this contribution, dual and primal domain decomposition techniques are studied for the multiscale...
Abstract We study a multiscale scheme for the approximation of Sobolev functions on bounded domains....
We propose a multiscale method for elliptic problems on complex domains, e.g. domains with cracks or...
AbstractWe present an algorithm for constructing stable local bases for the spaces Srd(Δ) of multiva...
We present a new class of coarse spaces for two-level additive Schwarz preconditioners that yield co...
We present an algorithm for constructing stable local bases for the spaces ${\cal S}_d^r(\triangle)$...