INTERPOLATED FINITE ELEMENT METHOD FOR SOME FOURTH-ORDER ELLIPTIC PROBLEMS
نویسندگان
چکیده
منابع مشابه
A Finite Element Method for Second Order Nonvariational Elliptic Problems
We propose a numerical method to approximate the solution of second order elliptic problems in nonvariational form. The method is of Galerkin type using conforming finite elements and applied directly to the nonvariational (nondivergence) form of a second order linear elliptic problem. The key tools are an appropriate concept of “finite element Hessian” and a Schur complement approach to solvin...
متن کاملHigh-Order Multiscale Finite Element Method for Elliptic Problems
In this paper, a new high-order multiscale finite element method is developed for elliptic problems with highly oscillating coefficients. The method is inspired by the multiscale finite element method developed in [3], but a more explicit multiscale finite element space is constructed. The approximation space is nonconforming when oversampling technique is used. We use a PetrovGalerkin formulat...
متن کاملTwo weak solutions for some singular fourth order elliptic problems
In this paper, we establish the existence of at least two distinct weak solutions for some singular elliptic problems involving a p-biharmonic operator, subject to Navier boundary conditions in a smooth bounded domain in RN . A critical point result for differentiable functionals is exploited, in order to prove that the problem admits at least two distinct nontrivial weak solutions.
متن کاملBoundary preconditioners for mixed finite-element discretizations of fourth-order elliptic problems
Abstract We extend the preconditioning approach of Glowinski and Pironneau, and of Peisker to the case of mixed finite element general fourth-order elliptic problems. We show that H−1/2-preconditioning on the boundary leads to mesh-independent performance of iterative solvers of Krylov subspace type. In particular, we show that the field of values of the boundary Schur complement preconditioned...
متن کاملError Estimates of Mixed Finite Element Approximations for a Class of Fourth Order Elliptic Control Problems
In this paper, we consider the error estimates of the numerical solutions of a class of fourth order linear-quadratic elliptic optimal control problems by using mixed finite element methods. The state and co-state are approximated by the order k Raviart-Thomas mixed finite element spaces and the control variable is approximated by piecewise polynomials of order k (k ≥ 1). L and L-error estimate...
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: Dynamic Systems and Applications
سال: 2018
ISSN: 1056-2176
DOI: 10.12732/dsa.v27i2.13