A DPG Framework for Strongly Monotone Operators
نویسندگان
چکیده
منابع مشابه
Viscosity Approximation Methods for Strongly Positive and Monotone Operators
In this paper, we suggest and analyze both explicit and implicit iterative schemes for two strongly positive operators and a nonexpansive mapping S on a Hilbert space. We also study explicit and implicit versions of iterative schemes for an inverse-strongly monotone mapping T and S by an extragradient-like approximation method. The viscosity approximation methods are employed to establish stron...
متن کاملAn Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone Operators and Maximal Monotone Operators in Banach Spaces
We introduce an iterative scheme for finding a common element of the solution set of a maximal monotone operator and the solution set of the variational inequality problem for an inverse strongly-monotone operator in a uniformly smooth and uniformly convex Banach space, and then we prove weak and strong convergence theorems by using the notion of generalized projection. The result presented in ...
متن کاملConstruction of DPG Fortin operators for second order problems
The use of " ideal " optimal test functions in a Petrov-Galerkin scheme guarantees the discrete stability of the variational problem. However, in practice, the computation of the ideal optimal test functions is computationally intractable. In this paper, we study the effect of using approximate, " practical " test functions on the stability of the DPG (discontinuous Petrov-Galerkin) method and ...
متن کاملA Lyapunov Inequality for Monotone Quasilinear Operators
In this work we prove a Lyapunov type inequality for monotone quasilinear operators generalizing the p−Laplacian. This inequality enable us to obtain lower bounds for the first eigenvalue obtained in the setting of Orlicz-Sobolev spaces.
متن کاملGeneralized Quasi-Variational Inequalities for Pseudo- Monotone Type III and Strongly Pseudo-Monotone Type III Operators on Non-Compact Sets
In this paper, the authors prove some existence results of solutions for a new class of generalized quasi-variational inequalities (GQVI) for pseudo-monotone type III operators and strongly pseudo-monotone type III operators defined on noncompact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GQVI for pseudo-monotone type III operators, we shall use Ch...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2018
ISSN: 0036-1429,1095-7170
DOI: 10.1137/18m1166663