Siddharth Savadatti

Works (5)

Updated: July 5th, 2023 15:48

2012 journal article

Accurate absorbing boundary conditions for anisotropic elastic media. Part 1: Elliptic anisotropy

JOURNAL OF COMPUTATIONAL PHYSICS, 231(22), 7584–7607.

By: S. Savadatti n & M. Guddati n 

author keywords: Wave propagation; Perfectly matched layers; Group velocity; Rational approximation
TL;DR: The approximation properties of PMDL quantified through its reflection matrix is used to derive simple bounds on the PMDL parameters necessary for the accurate absorption of all outgoing anti-plane and in-plane wavemodes - including those with c"p"xc"g"x<0. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2012 journal article

Accurate absorbing boundary conditions for anisotropic elastic media. Part 2: Untilted non-elliptic anisotropy

JOURNAL OF COMPUTATIONAL PHYSICS, 231(22), 7608–7625.

By: S. Savadatti n & M. Guddati n 

author keywords: Wave propagation; Perfectly matched layers; Group velocity; Rational approximation
TL;DR: The concept of layer groupings along with an unconventional stretching of the finite element mesh is used to guarantee the accuracy of local ABCs designed to treat all propagating wavemodes, even those with opposing phase and group velocities. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2010 journal article

A finite element alternative to infinite elements

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 199(33-36), 2204–2223.

By: S. Savadatti n & M. Guddati n 

author keywords: Reduced integration; Optimal mesh; Rational absorbing boundary conditions (ABC); Perfectly matched layer PML; Perfectly matched discrete layer (PMDL); Dirichlet-to-Neumann (DtN) map
TL;DR: This paper develops a finite element mesh that approximates the stiffness of an unbounded domain directly (without approximating the far-field displacement profile first) and uses the results to develop a practical mesh generation methodology that does not require any additional computation on the part of the user. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2010 journal article

Absorbing boundary conditions for scalar waves in anisotropic media. Part 1: Time harmonic modeling

JOURNAL OF COMPUTATIONAL PHYSICS, 229(19), 6696–6714.

By: S. Savadatti n & M. Guddati n 

author keywords: Wave propagation; Perfectly matched layers; Group velocity; Rational approximation; Accuracy
TL;DR: The accuracy condition presented here is shown to govern both the well-posedness and accuracy aspects of PMDL designed for transient (time-dependent) modeling of scalar waves in anisotropic media. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2010 journal article

Absorbing boundary conditions for scalar waves in anisotropic media. Part 2: Time-dependent modeling

JOURNAL OF COMPUTATIONAL PHYSICS, 229(18), 6644–6662.

By: S. Savadatti n & M. Guddati n 

author keywords: Wave propagation; Perfectly matched layers; Group velocity; Rational approximation; Well-posedness; Accuracy
TL;DR: It is shown that this bound on layer lengths also ensures well-posedness, and the time discretized form of PMDL is also shown to be theoretically stable and some instability related to finite precision arithmetic is discussed. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

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