A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
In this paper, we consider phase-field based fracture propagation in elastic media. The main
purpose is the development of a robust and efficient numerical scheme. To enforce crack …
purpose is the development of a robust and efficient numerical scheme. To enforce crack …
Rate-independent systems
A Mielke, T Roubíček - Applied Mathematical Sciences, 2015 - Springer
Our work on rate-independent systems was stimulated by our search for evolutionary
material models for shape-memory alloys that are flexible enough to encompass nonlinear …
material models for shape-memory alloys that are flexible enough to encompass nonlinear …
Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model
This work presents phase field fracture modeling in heterogeneous porous media. We
develop robust and efficient numerical algorithms for pressure-driven and fluid-driven …
develop robust and efficient numerical algorithms for pressure-driven and fluid-driven …
[图书][B] Optimization with PDE constraints
Solving optimization problems subject to constraints given in terms of partial d-ferential
equations (PDEs) with additional constraints on the controls and/or states is one of the most …
equations (PDEs) with additional constraints on the controls and/or states is one of the most …
[图书][B] Lagrange multiplier approach to variational problems and applications
The objective of this monograph is the treatment of a general class of nonlinear variational
problems of the form min y∈ Y, u∈ U ƒ (y, u) subject to e (y, u)= 0, g (y, u)∈ K, 0.0. 1 where …
problems of the form min y∈ Y, u∈ U ƒ (y, u) subject to e (y, u)= 0, g (y, u)∈ K, 0.0. 1 where …
Multigrid methods for obstacle problems
C Gräser, R Kornhuber - Journal of Computational Mathematics, 2009 - JSTOR
In this review, we intend to clarify the underlying ideas and the relations between various
multigrid methods ranging from subset decomposition, to projected subspace decomposition …
multigrid methods ranging from subset decomposition, to projected subspace decomposition …
Dual mortar methods for computational contact mechanics–overview and recent developments
Mortar‐based finite element discretization in computational contact mechanics has seen a
great thrust of research activities over the last years. In this contribution, we review the most …
great thrust of research activities over the last years. In this contribution, we review the most …
[图书][B] Evolving fuzzy systems-methodologies, advanced concepts and applications
E Lughofer - 2011 - Springer
In today's industrial systems, economic markets, life and health-care sciences fuzzy systems
play an important role in many application scenarios such as system identification, fault …
play an important role in many application scenarios such as system identification, fault …
[图书][B] Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces
M Ulbrich - 2011 - SIAM
This book provides a comprehensive treatment of a very successful class of methods for
solving optimization problems with PDE and inequality constraints as well as variational …
solving optimization problems with PDE and inequality constraints as well as variational …
[图书][B] Computational optimization of systems governed by partial differential equations
This book provides an introduction to some modern computational techniques for
optimization problems governed by partial differential equations (PDEs). The optimization …
optimization problems governed by partial differential equations (PDEs). The optimization …