Object-Oriented Programming in Field Recovery and Error Estimation

Okstad, Knut Morten; Kvamsdal, Trond

doi:10.1007/s003660050007

Cited by 6 publications

(2 citation statements)

References 8 publications

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“…The senior author of the present paper have been working with error estimation and adaptivity for more than two decades (see e.g. [29], [36], [35], and [31]), and are well aware of the fact that adaptive methods are not yet an industrial tool, partly because the need for a link between the finite element program and traditional CAD-system. Here, the use of an isogeometric analysis framework may facilitate more widespread adoption of this technology in industry, as adaptive mesh refinement does not require any further communication with the CAD system.…”

Section: Introductionmentioning

confidence: 99%

On the similarities and differences between Classical Hierarchical, Truncated Hierarchical and LR B-splines

Johannessen

Remonato

Kvamsdal

2015

Computer Methods in Applied Mechanics and Engineering

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a b s t r a c tSynthetic amorphous silica (SAS) like NM-200 is used in a wide variety of technological applications and consumer products. Although SAS has been widely investigated the available reproductive toxicity studies are old and do not cover all requirements of current OECD Guidelines. As part of a CEFIC-LRI project, NM-200 was tested in a two-generation reproduction toxicity study according to OECD guideline 416. Male and female rats were treated by oral gavage with NM-200 at dose levels of 0, 100, 300 and 1000 mg/kg bw/day for two generations. Body weight and food consumption were measured throughout the study. Reproductive and developmental parameters were measured and at sacrifice (reproductive) organs and tissues were sampled for histopathological analysis. Oral administration of NM-200 up to 1000 mg/kg bw/day had no adverse effects on the reproductive performance of rats or on the growth and development of the offspring into adulthood for two consecutive generations. The NOAEL was 1000 mg/kg body weight per day.

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Section: Introductionmentioning

confidence: 99%

On the similarities and differences between Classical Hierarchical, Truncated Hierarchical and LR B-splines

Johannessen

Remonato

Kvamsdal

2015

Computer Methods in Applied Mechanics and Engineering

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“…Then, goal‐oriented recovery of stresses in elasticity and surface forces (drag and lift) for Stokes problems were developed and presented in the papers , and , respectively. Object‐oriented implementation of the SPR recovery procedures is described in and . Recently, we have developed a posteriori error estimates for IGA (see and ).…”

Section: Introductionmentioning

confidence: 99%

Adaptive isogeometric finite element analysis of steady‐state groundwater flow

Bekele

Kvamsdal

Kvarving

et al. 2015

Num Anal Meth Geomechanics

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SUMMARYNumerical challenges occur in the simulation of groundwater flow problems due to complex boundary conditions, varying material properties, presence of sources or sinks in the flow domain or a combination of these. In this paper, we apply adaptive isogeometric finite element analysis using locally refined (LR) Bsplines to address these types of problems. The fundamentals behind isogeometric analysis and LR Bsplines are briefly presented. Galerkin's method is applied to the standard weak formulation of the governing equation to derive the linear system of equations. A posteriori error estimates are calculated to identify which B-splines should be locally refined. The error estimates are calculated based on recovery of the L 2 -projected solution. The adaptive analysis method is first illustrated by performing simulation of benchmark problems with analytical solutions. Numerical applications to two-dimensional groundwater flow problems are then presented. The problems studied are flow around an impervious corner, flow around a cutoff wall and flow in a heterogeneous medium. The convergence rates obtained with adaptive analysis using local refinement were, in general, observed to be of optimal order in contrast to simulations with uniform refinement.

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Simulation of Aluminum Extrusion

Okstad

Kvamsdal

2003

Lecture Notes in Computational Science and Engineering

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Object-Oriented Programming in Field Recovery and Error Estimation

Cited by 6 publications

References 8 publications

On the similarities and differences between Classical Hierarchical, Truncated Hierarchical and LR B-splines

On the similarities and differences between Classical Hierarchical, Truncated Hierarchical and LR B-splines

Adaptive isogeometric finite element analysis of steady‐state groundwater flow

Simulation of Aluminum Extrusion

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