Add to ORKGAbstract. A multilevel nonlinear method (MNM) for the numerical solution of nonlinear partial differential equations is developed. The MNM algorithm is motivated and analyzed using a simplified model which retains the essential features of the new approach. It is thereby shown to combine the advantages of the two classical multigrid approaches to nonlinear problems. The analysis is supported by numerical tests for nonlinear differential equations in one and two dimensions. Key words. multigrid, nonlinear partial differential equations, numerical methods for partial differential equation
Multigrid methods can be formulated as an algorithm for an abstract problem that is independent of t...
Nonlinear multigrid methods such as the Full Approximation Scheme (FAS) and Newton-multigrid (Newton...
In these introductory notes, we focus on smooth and piecewise smooth semilinear elliptic partial dif...
The description of many interesting phenomena in science and engineering leads to infinite-dimension...
The basic idea of this new method resides in the fact that the major part of the relative informatio...
A number of experimental implementations of the multigrid algorithm for the solution of systems of p...
The multilevel iterative method consists of the iterative systems associated with different levels, ...
AbstractA family of nonlinear multistep (NLMS) methods is formulated to be A-stable in the sense of ...
AbstractSome k-step kth order explicit nonlinear multistep methods (NMM) are proposed for both stiff...
We combine the multigrid (MG) method with state-of-the-art concepts from the variational formulation...
The emphasis of the book is given in how to construct different types of solutions (exact, approxima...
Multigrid presents both an elementary introduction to multigrid methods for solving partial differen...
In this book, we study theoretical and practical aspects of computing methods for mathematical model...
A multigrid method is described that can solve history dependent, material nonlinear solid mechanics...
Multigrid technique is a mathematical method which when13; implemented for the numerical solution of...
Multigrid methods can be formulated as an algorithm for an abstract problem that is independent of t...
Nonlinear multigrid methods such as the Full Approximation Scheme (FAS) and Newton-multigrid (Newton...
In these introductory notes, we focus on smooth and piecewise smooth semilinear elliptic partial dif...
The description of many interesting phenomena in science and engineering leads to infinite-dimension...
The basic idea of this new method resides in the fact that the major part of the relative informatio...
A number of experimental implementations of the multigrid algorithm for the solution of systems of p...
The multilevel iterative method consists of the iterative systems associated with different levels, ...
AbstractA family of nonlinear multistep (NLMS) methods is formulated to be A-stable in the sense of ...
AbstractSome k-step kth order explicit nonlinear multistep methods (NMM) are proposed for both stiff...
We combine the multigrid (MG) method with state-of-the-art concepts from the variational formulation...
The emphasis of the book is given in how to construct different types of solutions (exact, approxima...
Multigrid presents both an elementary introduction to multigrid methods for solving partial differen...
In this book, we study theoretical and practical aspects of computing methods for mathematical model...
A multigrid method is described that can solve history dependent, material nonlinear solid mechanics...
Multigrid technique is a mathematical method which when13; implemented for the numerical solution of...
Multigrid methods can be formulated as an algorithm for an abstract problem that is independent of t...
Nonlinear multigrid methods such as the Full Approximation Scheme (FAS) and Newton-multigrid (Newton...
In these introductory notes, we focus on smooth and piecewise smooth semilinear elliptic partial dif...
