Finite element approximation of regularized solutions of the inverse potential problem of electrocardiography and applications to experimental data

The Finite Element Method for Elliptic Problems

1978 • 8,710 citations

Solving Least Squares Problems

1995 • 7,093 citations

Non-Homogeneous Boundary Value Problems and Applications

1973 • 4,813 citations

The finite element method in engineering science

1971 • 4,380 citations

Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter

1979 • 3,609 citations

Singular value decomposition and least squares solutions

1970 • 2,793 citations

Solving Least Squares Problems.

1977 • 2,635 citations

The Advanced Theory of Statistics.

1968 • 1,584 citations

The Advanced Theory of Statistics.

1945 • 1,111 citations

Analysis, Manifolds and Physics

2000 • 1,057 citations

A frontal solution program for finite element analysis

1970 • 901 citations

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1973 • 807 citations

Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy

1977 • 777 citations

Generalizing the Singular Value Decomposition

1976 • 627 citations

Considerations of quasi-stationarity in electrophysiological systems

1967 • 615 citations

Well-posed stochastic extensions of ill-posed linear problems

1970 • 560 citations

A UNIQUE CONTINUATION THEOREM FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS OR INEQUALITIES OF SECOND ORDER

1956 • 548 citations

Analysis, manifolds and physics

1977 • 463 citations

Some Methods in the Mathematical Analysis of Systems and Their Control

1981 • 440 citations

Improperly Posed Problems in Partial Differential Equations

1975 • 344 citations

Relating Epicardial to Body Surface Potential Distributions by Means of Transfer Coefficients Based on Geometry Measurements

1977 • 302 citations

The Application of Electromagnetic Theory to Electrocardiology

1967 • 260 citations

Computing Methods in Applied Sciences and Engineering

1981 • 199 citations

Inverse calculation of QRS-T epicardial potentials from body surface potential distributions for normal and ectopic beats in the intact dog.

1978 • 174 citations

The theoretical basis of electrocardiology

1977 • 167 citations

Numerical differentiation procedures for non-exact data

1974 • 164 citations

A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems

1979 • 155 citations

On the Numerical Solution of Ill-Conditioned Linear Systems with Applications to Ill-Posed Problems

1973 • 155 citations

Curved finite element methods for the solution of singular integral equations on surfaces in R3

1976 • 144 citations

The Application of Electromagnetic Theory to Electrocardiology

1967 • 140 citations

A comparison of volume conductor and source geometry effects on body surface and epicardial potentials.

1980 • 127 citations

The error principle in the solution of operational equations by the regularization method

1968 • 103 citations

A simulation study of the effects of torso inhomogeneities on electrocardiographic potentials, using realistic heart and torso models.

1983 • 101 citations

Ill Posed Problems: Numerical and Statistical Methods for Mildly, Moderately and Severely Ill Posed Problems with Noisy Data.

1980 • 89 citations

BIOELECTRIC PHENOMENA

2005 • 88 citations

A Time Series Approach To Numerical Differentiation

1974 • 84 citations

An Approach to Inverse Calculation of Epicardial Potentials from Body Surface Maps1

2015 • 68 citations

On the inverse potential problem of electrocardiology

1979 • 67 citations

A generalized discrepancy principle

1973 • 64 citations

Statistically Constrained Inverse Electrocardiography

1975 • 55 citations

Engineering contributions to biophysical electrocardiography

1982 • 54 citations

Comparison of measured torso potentials with those simulated from epicardial potentials for ventricular depolarization and repolarization in the intact dog.

1977 • 51 citations

The finite element method for ill-posed problems

1977 • 40 citations

The effective choice of the smoothing norm in regularization

1979 • 36 citations

Inverse solution in electrocardiography: Determining epicardial from body surface maps by using the finite element method.

1981 • 24 citations

Some fifth degree integration formulas for symmetric regions

1966 • 24 citations

The electrical field of the heart

1939 • 20 citations

Justification of the choice of regularization parameter according to quasi-optimality and quotient criteria

1978 • 13 citations

Discrete convergence and finite-dimensional approximation of regularizing algorithms

1979 • 12 citations

Curved Finite Element Methods for the Solution of Integral Singular Equations on Surfaces in R3

1976 • 10 citations

Relationships between the Current Field Surrounding an Isolated Dog Heart and the Potential Distribution on the Surface of the Body

2015 • 8 citations

A deterministic view of a statistical method for stable extension of unstable linear problems

1978 • 5 citations

The Inverse Potential Problem Applied to the Human Case

1982 • 4 citations