Finite Volume Methods for Diiusion Convection Equations on General Meshes
abstract Error estimates for the approximate solution of stationary or evo-lutive convection diiusion equations using a nite volume scheme on a general non structured mesh are presented here. These estimates only require a piece-wise regularity of the exact solution.
Ja n 20 08 Discretization schemes for heterogeneous and anisotropic diffusion problems on general nonconforming meshes 1
A discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes is developed and studied. The unknowns of this scheme are the values at the center of the control volumes and at some internal interfaces, chosen because of some irregularity of the diffusion tensor. If the tensor is regular enough, the values on the interfaces may be deduced from the values at the center, at the expense of loosing the local conservativity of the fluxes. This scheme is shown to be accurate on several numerical examples. Mathematical convergence to the continuous solution is obtained for homogeneous and heterogeneous tensors. An error estimate may be drawn under sufficient regularity assumptions on the solution.
Judicial Review, Socio-Economic Rights and the Human Rights Act
INTRODUCTION 1 THE ROLE OF COURTS IN THE PROTECTION OF SOCIO-ECONOMIC RIGHTS: INTERNATIONAL AND DOMESTIC PERSPECTIVES I. The Indivisibility of Human Rights II. The Protection of Socio-economic Rights in Domestic Courts III. Conclusion 2 THE REGIONAL PROTECTION OF SOCIO-ECONOMIC RIGHTS: EUROPE I. Introduction II. The European Convention on Human Rights (ECHR) 1950 III. The Protection of Socio-economic Rights in the ECHR IV. The Protection of Socio-economic Rights in EC/EU Law V. Conclusion 3 COURTS, THE UK CONSTITUTION AND THE HUMAN RIGHTS ACT 1998 I. Introduction II. Reading and Giving Effect to ECHR Rights in UK Courts III. Conclusion 4 JUDICIAL REVIEW: DEFERENCE, RESOURCES AND THE HUMAN RIGHTS ACT I. Introduction II. The Constitutional Foundations of Judicial Review III. Public Law, Deference and the Human Rights Act IV. Conclusion 5 FROM NEED TO 'CHOICE' IN PUBLIC SERVICES: THE BOUNDARIES OF JUDICIAL INTERVENTION IN PRIORITISATION DISPUTES I. Introduction II. NHS Rationing: The Role of Courts in Disputes over Access to Medical Services III. Local Authority Resource Allocation Disputes IV. Interpreting Local Authority Statutory Duties Post-HRA V. Conclusion 6 ARTICLES 3 AND 8 ECHR: FAILURE TO PROVIDE AND POSITIVE OBLIGATIONS IN THE SOCIO-ECONOMIC SPHERE I. Introduction II. Anufrijeva, Article 8 ECHR and Maladministration in the Provision of Welfare III. Article 3 ECHR: Respect for Dignity IV. Conclusion 7 ARTICLE 14 ECHR AND THE UNEQUAL DISTRIBUTION OF PUBLIC GOODS AND SERVICES IN THE UNITED KINGDOM I. Introduction II. Socio-economic Entitlements and the Limits of Substantive Fairness in Article 14 ECHR III. Carson's Case: Refusal of Up-rated Payments to Pensioners Abroad 283 IV. Reynolds' Case: The Intensity of Scrutiny in Other 'Status Disputes' V. Equality and Human Rights VI. Conclusion 8 ARTICLE 6 ECHR: JUDICIAL REVIEW, DUE PROCESS AND THE PROTECTION OF SOCIO-ECONOMIC RIGHTS I. Introduction II. What is a Civil Right for the Purposes of Article 6 ECHR? III. The Quality of Administrative Justice: The Scope of Article IV. Conclusion