[图书][B] Sobolev gradients and differential equations
J Neuberger - 2009 - books.google.com
A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that
functional taken relative to an underlying Sobolev norm. This book shows how descent …
functional taken relative to an underlying Sobolev norm. This book shows how descent …
[图书][B] Surface modeling: high accuracy and high speed methods
TX Yue - 2011 - books.google.com
Based on newly developed methods by the author, who is the inventor of HASM methods,
this handbook bridges the gap between the mathematical-oriented theory of surface …
this handbook bridges the gap between the mathematical-oriented theory of surface …
An optimal preconditioned FFT-accelerated finite element solver for homogenization
We generalize and provide a linear algebra-based perspective on a finite element (FE)
homogenization scheme, pioneered by Schneider et al.(2017)[1] and Leuschner and Fritzen …
homogenization scheme, pioneered by Schneider et al.(2017)[1] and Leuschner and Fritzen …
[图书][B] Preconditioning and the conjugate gradient method in the context of solving PDEs
Our times can be characterized by, among many other attributes, the seemingly increasing
speed of everything. Within science, it has led to the publication explosion, which reflects the …
speed of everything. Within science, it has led to the publication explosion, which reflects the …
[图书][B] Saddle-point problems and their iterative solution
M Rozložník - 2018 - Springer
It is often rumored that a “saddle point” in mathematics derives its name from the fact that the
prototypical example in two dimensions is a surface that curves up in one direction and …
prototypical example in two dimensions is a surface that curves up in one direction and …
A scalable and robust vertex-star relaxation for high-order FEM
PD Brubeck, PE Farrell - arXiv preprint arXiv:2107.14758, 2021 - arxiv.org
Pavarino proved that the additive Schwarz method with vertex patches and a low-order
coarse space gives a $ p $-robust solver for symmetric and coercive problems. However, for …
coarse space gives a $ p $-robust solver for symmetric and coercive problems. However, for …
[图书][B] A Journey through the History of Numerical Linear Algebra
C Brezinski, G Meurant, M Redivo-Zaglia - 2022 - SIAM
A Journey through the History of Numerical Linear Algebra: Back Matter Page 1 Bibliography
[1] A. Abdelfattah, H. Anzt, A. Bouteiller, A. Danalis, JJ Dongarra, M. Gates, A. Haidar, J. Kurzak …
[1] A. Abdelfattah, H. Anzt, A. Bouteiller, A. Danalis, JJ Dongarra, M. Gates, A. Haidar, J. Kurzak …
Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations
T Gergelits, Z Strakoš - Numerical Algorithms, 2014 - Springer
The conjugate gradient method (CG) for solving linear systems of algebraic equations
represents a highly nonlinear finite process. Since the original paper of Hestenes and Stiefel …
represents a highly nonlinear finite process. Since the original paper of Hestenes and Stiefel …
Continuous analogues of Krylov subspace methods for differential operators
MA Gilles, A Townsend - SIAM Journal on Numerical Analysis, 2019 - SIAM
Analogues of the conjugate gradient method, minimum residual method, and generalized
minimum residual method are derived for solving boundary value problems (BVPs) involving …
minimum residual method are derived for solving boundary value problems (BVPs) involving …
Robust superlinear Krylov convergence for complex noncoercive compact-equivalent operator preconditioners
Preconditioning for Krylov methods often relies on operator theory when mesh independent
estimates are looked for. The goal of this paper is to contribute to the long development of …
estimates are looked for. The goal of this paper is to contribute to the long development of …