The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method

Accuracy controlled data assimilation for parabolic problems

(2021) Wolfgang Dahmen et al.   MATHEMATICS OF COMPUTATION

Space time stabilized finite element methods for a  unique continuation problem subject to the wave equation

(2020) Erik Burman et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Fully discrete finite element data assimilation method for the heat equation

(2018) Erik Burman et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Solving ill-posed control problems by stabilized finite element methods: an alternative to Tikhonov regularization

(2018) Erik Burman et al.   INVERSE PROBLEMS

Implementation of Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming

(2018) M. Cicuttin et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Data assimilation for the heat equation using stabilized finite element methods

(2018) Erik Burman et al.   NUMERISCHE MATHEMATIK

Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: The 1D case

(2015) Eliane Bécache et al.   Inverse Problems and Imaging

The effect of numerical model error on data assimilation

(2015) S.E. Jenkins et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Error estimates for stabilized finite element methods applied to ill-posed problems

(2014) Erik Burman   COMPTES RENDUS MATHEMATIQUE

An $H_\mathsf{div}$-Based Mixed Quasi-reversibility Method for Solving Elliptic Cauchy Problems

(2013) Jérémi Dardé et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Stabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part I: Elliptic Equations

(2013) Erik Burman   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A numerical method for solving the inverse heat conduction problem without initial value

(2010) Y.B. Wang et al.   INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

The stability for the Cauchy problem for elliptic equations

(2009) Giovanni Alessandrini et al.   INVERSE PROBLEMS