Recursion relations and the asymptotic behavior of the eigenvalues of the laplacian
Refinement of an Lp-Estimate of Solonnikov for a Parabolic Equation of the Second Order with Conormal Boundary Condition.
Regularization and error estimates for nonhomogeneous backward heat problems.
Regularization and new error estimates for a modified Helmholtz equation.
Regularization of a discrete backward problem using coefficients of truncated Lagrange polynomials.
Regularization of the backward heat equation via heatlets.
Regularizing sets of irregular points.
Remarks on a 2-D nonlinear backward heat problem using a truncated Fourier series method.
Remarks on non controllability of the heat equation with memory
In this paper we deal with the null controllability problem for the heat equation with a memory term by means of boundary controls. For each positive final time T and when the control is acting on the whole boundary, we prove that there exists a set of initial conditions such that the null controllability property fails.
Résolution numérique du problème de propagation de la chaleur à une dimension par la méthode itérative de sur-relaxation
Resolvent estimates in for discrete Laplacians on irregular meshes and maximum-norm stability of parabolic finite difference schemes.
Reverse convolution inequalities and applications to inverse heat source problems.
Riesz transform on manifolds and heat kernel regularity
Ritz Approximations to Two-Dimensional Boundary Value Problems.
Robust a posteriori error estimates for finite element discretizations of the heat equation with discontinuous coefficients
In this work we derive a posteriori error estimates based on equations residuals for the heat equation with discontinuous diffusivity coefficients. The estimates are based on a fully discrete scheme based on conforming finite elements in each time slab and on the A-stable -scheme with . Following remarks of [Picasso, Comput. Methods Appl. Mech. Engrg. 167 (1998) 223–237; Verfürth, Calcolo 40 (2003) 195–212] it is easy to identify a time-discretization error-estimator and a space-discretization...
Robust a posteriori error estimates for finite element discretizations of the heat equation with discontinuous coefficients
In this work we derive a posteriori error estimates based on equations residuals for the heat equation with discontinuous diffusivity coefficients. The estimates are based on a fully discrete scheme based on conforming finite elements in each time slab and on the A-stable θ-scheme with 1/2 ≤ θ ≤ 1. Following remarks of [Picasso, Comput. Methods Appl. Mech. Engrg. 167 (1998) 223–237; Verfürth, Calcolo40 (2003) 195–212] it is easy to identify a time-discretization error-estimator and a space-discretization...
Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation.