Verification and validation in computational engineering and science: basic concepts

By Ivo Babuska, J. Tinsley Oden. 2004

405 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computational Mechanics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/a39ce620ae2c9855b27cbc81208ce5eb802409ff

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

In Computational Mechanics

In Environmental Engineering

Citations in the corpus

Validation metric based on relative error (2012, background): “Similarly [2] states that “the broad interest in V&V in many different scientific areas has led to a diverse and often incompatible list of definitions and concepts as it pertains to different disciplines.”
FEBio: finite elements for biomechanics. (2012, neutral): “Development of a numerical method of analysis based on the mathematical model requires numerical discretization, solution algorithms, and convergence criteria [19,20].”
Patient-specific Modeling of Cardiovascular Mechanics (2009, methodology): “This process usually relies on the existence of an analytical solution for the method; however, the validation of a computational method is a more complex process because it involves comparing the results of the method with those observed in the real world (135).”
Stable Generalized Finite Element Method (SGFEM) (2011, background): “Validation and Verification (V & V) is a fairly new field and is still in its developing stage ([1, 42, 7, 37]).”
A Systematic Review on the Practice of Evaluating Visualization (2013, background): “In computational science, validation refers to the process of ensuring the correctness of a conceptual or mathematical model with the salient aspects of reality [4].”
Numerical Solution of Richards' Equation: A Review of Advances and Challenges (2017, background): “It can be seen, for example, in efforts to develop clear understanding of benchmarking, verification, and validation for computational codes in fields like nuclear engineering and aerospace engineering (Babuska and Oden, 2004; Oberkampf and Trucano, 2007).”
The use of Timoshenko's exact solution for a cantilever beam in adaptive analysis (2008, background): “Verification and validation (V&V) of computational methods in science and engineering is an increasingly important concern [17,18] and particularly so in finite element codes [19].”
Strict error bounds for linear solid mechanics problems using a subdomain-based flux-free method (2009, background): “In particular, the error arising from the resolution of equations defined on a continuum by the finite element (FE) method has to be estimated and controlled (the so-called “verification” [1]).”