Results 311 to 320 of about 236,568 (372)

On Elliptic Partial Differential Equations [PDF]

, 2011
This series of lectures will touch on a number of topics in the theory of elliptic differential equations. In Lecture I we discuss the fundamental solution for equations with constant coefficients. Lecture 2 is concerned with Calculus inequalities including the well known ones of Sobolev. In lectures 3 and 4 we present the Hilbert space approach to the
openaire   +1 more source

Some of the next articles are maybe not open access.

Related searches:

Mesh Generation Using Unstructured Computational Meshes and Elliptic Partial Differential Equation Smoothing

, 2005
A novel appro ach for generating unstructured meshes using elliptic smoothing is presented. Like structured mesh generation methods, the approach begins with the construction of a computational mesh.
Steve L. Karman, W. Anderson, M. Sahasrabudhe   +2 more
semanticscholar   +1 more source

Applications to Elliptic Partial Differential Equations [PDF]

, 2012
We consider elliptic partial differential equations in d variables and their discretisation in a product grid \(\mathbf{I} = \times^{d}_{j=1}I_{j}\). The solution of the discrete system is a grid function, which can directly be viewed as a tensor in \(\mathbf{V} = {\bigotimes}^{d}_{j=1}\mathbb{K}^{I_{j}}\). In Sect.
openaire   +1 more source

Partial differential equations I — elliptic equations [PDF]

, 1986
In this chapter we start to examine some techniques used for the numerical solution of partial differential equations (PDEs) and, in particular, equations which are special cases of the linear second-order equation with two independent variables $$a\frac{{{\partial ^2}u}}{{\partial {x^2}}} + b\frac{{{\partial ^2}u}}{{\partial x\partial y}} + c\frac{
openaire   +1 more source

Partial Differential Equations of Elliptic Type

Physics Bulletin, 1971
C Miranda Berlin: Springer 1970 pp xii + 370 price DM 58 This is a translation of the second revised edition of the monograph published in 1955. The number of pages has risen from 222 to 370 of which 69 are occupied by a bibliography.
openaire   +2 more sources

Partial Differential Equations of Elliptic Type

2004
In the present chapter we consider the well-posedness of an abstract boundary-value problem for differential equations of elliptic type $$- \upsilon ''\left( t \right) + A\upsilon \left( t \right) = f\left( t \right)\left( {0 \leqslant t \leqslant T} \right),\upsilon \left( 0 \right) = {{\upsilon }_{0}},\upsilon \left( T \right) = {{\upsilon }_{T}}$$
Pavel E. Sobolevskii, Allaberen Ashyralyev   +1 more
openaire   +2 more sources

Elliptic Partial Differential Equations

2016
General existence theories for solutions of partial differential equations require using concepts from functional analysis and considering generalizations of classical derivatives based on a multidimensional integration-by-parts formula. The chapter introduces Sobolev spaces, discusses their main properties, states existence theories for elliptic ...
openaire   +2 more sources

Elliptic Partial Differential Equations

1984
In this chapter we review the main tools used to study elliptic partial differential equations (PDE): Sobolev spaces, variational formulations, and continuous dependence on the data.
openaire   +2 more sources

Approaching A Partial Differential Equation Of Mixed Elliptic-Hyperbolic Type

, 2002
We discuss a quasilinear second-order partial differential equation of mixed elliptic-hyperbolic type in two independent variables, which originates from a certain fully nonlinear system of first order partial differential equations.
R. Magnaninf, G. Talenti
semanticscholar   +1 more source

Optimal Control of Quasilinear $\boldsymbol{H}(\mathbf{curl})$-Elliptic Partial Differential Equations in Magnetostatic Field Problems

SIAM Journal of Control and Optimization, 2013
This paper examines the mathematical and numerical analysis for optimal control problems governed by quasilinear $\boldsymbol{H}(\mathbf{curl})$-elliptic partial differential equations.
Irwin Yousept
semanticscholar   +1 more source