Lowest order Virtual Element approximation of magnetostatic problems
نویسندگان
چکیده
منابع مشابه
Finite element approximation of fractional order elliptic boundary value problems
A finite element numerical method is investigated for fractional order elliptic boundary value problems with homogeneous Dirichlet type boundary conditions. It is pointed out that an appropriate stiffness matrix can be obtained by taking the prescribed fractional power of the stiffness matrix corresponding to the non-fractional elliptic operators. It is proved that this approach, which is also ...
متن کاملStabilized Lowest-Order Finite Element Approximation for Linear Three-Field Poroelasticity
A stabilized conforming finite element method for the three-field (displacement, fluid flux and pressure) poroelasticity problem is presented. We use the lowest possible approximation order: piecewise constant approximation for the pressure, and piecewise linear continuous elements for the displacements and fluid flux. By applying a local pressure jump stabilization term to the mass conservatio...
متن کاملA lowest order divergence-free finite element on rectangular grids
It is shown that the conforming Q2,1;1,2-Q ′ 1 mixed element is stable, and provides optimal order of approximation for the Stokes equations on rectangular grids. Here Q2,1;1,2 = Q2,1 ×Q1,2 and Q2,1 denotes the space of continuous piecewise-polynomials of degree 2 or less in the x direction but of degree 1 in the y direction. Q′1 is the space of discontinuous bilinear polynomials, with spurious...
متن کاملImplementing Lowest-Order Methods for Diffusive Problems with a DSEL
Industrial simulation software have to manage: (i) the complexity of the underlying physical models, (ii) the complexity of numerical methods used to solve the PDE systems, and finally (iii) the complexity of the low level computer science services required to have efficient software on modern hardware. Nowadays, some frameworks offer a number of advanced tools to deal with the complexity relat...
متن کاملApproximation classes for adaptive higher order finite element approximation
The following small mistakes where found in [GM] and the corresponding corrections should be introduced: • Statement of Proposition 2.1 (page 2129); statement of Theorem 2.2 (page 2130): replace s+ α ≤ r + 1 τ∗ by s+ α < r + 1. • Second line of Section 4.2 (page 2142), replace s < r+ max{1, 1 p} = r+ 1 p∗ by s < r + 1. • Remark 4.8 (page 2143): Replace s < r′ + max{1, 1 p} by s < r ′ + 1. • Rem...
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: Computer Methods in Applied Mechanics and Engineering
سال: 2018
ISSN: 0045-7825
DOI: 10.1016/j.cma.2017.12.028