DOI10.1137/0729093zbMath0771.65071OpenAlexW2023083004MaRDI QIDQ4031686
Peter Oswald
Publication date: 1 April 1993
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0729093
Numerical solution of partial differential equations with Powell-Sabin splines,
\(C^ 1\)-hierarchical bases,
Recursive computation of bivariate Hermite spline interpolants,
Multilevel preconditioning -- appending boundary conditions by Lagrange multipliers,
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Robust multigrid preconditioners for the high-contrast biharmonic plate equation,
A Hermite interpolatory subdivision scheme for \(C^2\)-quintics on the Powell-Sabin 12-split,
Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems,
On multi-level bases for elliptic boundary value problems,
B-spline-like bases for \(C^2\) cubics on the Powell-Sabin 12-split,
Stability analysis of biorthogonal multiwavelets whose duals are not in \(L_2\) and its application to local semiorthogonal lifting,
A new method for smoothing surfaces and computing Hermite interpolants,
Extension theorems for plate elements with applications,
Multilevel preconditioning,
Stable simplex spline bases for \(C^3\) quintics on the Powell-Sabin 12-split,
An adaptive B-spline representation of piecewise polynomial functions for multilevel approximation,
On a hierarchical basis multilevel method with nonconforming P1 elements,
Spectral approximation to a transmission eigenvalue problem and its applications to an inverse problem,
A recursive construction of Hermite spline interpolants and applications,
Powell-Sabin spline based multilevel preconditioners for the biharmonic equation,
$C^1$ spline wavelets on triangulations,
\(C^{1}\) hierarchical Riesz bases of Lagrange type on Powell-Sabin triangulations,
\(C^1\) piecewise quadratic hierarchical bases,
A degree by degree recursive construction of Hermite spline interpolants,
A C1-P2 finite element without nodal basis,
\(C^1\) quadratic macroelements and \(C^1\) orthogonal multiresolution analyses in 2D,
A new family of high regularity elements,
A V-cycle multigrid method for TRUNC plate element,
A \(V\)-cycle multigrid method and additive multilevel preconditioners for the plate bending problem discretized by conforming finite elements,
An Adaptive Wavelet Stochastic Collocation Method for Irregular Solutions of Partial Differential Equations with Random Input Data,
On \(V\)-cycle multigrid implementation for plate elements
