Dr. P. A. Janitha Gunatilake
Senior Lecturer
B.Sc. (Moratuwa)
M.Sc. (TTU, USA)
Ph.D (TTU, USA)
Biography:
I am engaged in research in applied mathematics – high order finite element methods in particular. Here, I investigate theoretical, computational and application aspects of the p-version finite element method (p-FEM), with emphasis on multigrid solvers, space decomposition methods, convergence theory and open-source software for p-FEM. I am a regular participant and a presenter of the “International Congress on Industrial and Applied Mathematics” (ICIAM) since 2015. ICIAM is the premier international congress in the field of applied mathematics, held every four years under the auspices of the International Council for Industrial and Applied Mathematics. In addition to my research in applied mathematics, I am exploring a multitude of other topics including the ancient technology of Sri Lanka, foundations of mathematics and science, philosophy, nature, etc.
Contact Information:
Phone:
+94 (71) 497 1207
Office Location:
Department of Engineering Mathematics,
Faculty of Engineering,
University of Peradeniya,
20400, Sri Lanka.
Educational Qualifications:
PhD
in Mathematics, Texas Tech University, USA. (2014)
MSc
in Mathematics, Texas Tech University, USA. (2010)
BSc
Engineering (Hons), University of Moratuwa, Sri Lanka. (2006)
Teaching Areas/Subjects:
Numerical Methods
Fourier Analysis
Differential Equations
Optimization
Linear Algebra
Academic Appointments:
Senior Lecturer:
Department of Engineering Mathematics, University of Peradeniya, Sri Lanka. (02/2016 – present)
Senior Lecturer:
Department of Mathematics, University of Moratuwa, Sri Lanka. (09/2014 – 01/2016)
Visiting Lecturer:
Department of Mechanical Engineering, University of Moratuwa, Sri Lanka. (2016 – 2023)
Graduate Part-Time Instructor / Teaching Assistant:
Department of Mathematics and Statistics, Texas Tech University, USA. (09/2008 – 08/2014)
Areas of Research:
High Order Finite Element Methods
Mathematical Software
Philosophy in Mathematics and Science
Ancient Technology of Sri Lanka
Publications:
Janitha Gunatilake, An Improved Multigrid Solver for the p-Hierarchical Basis Finite Element Method using a Space Decomposition Smoother, Computers and Mathematics with Applications, Vol. 124, pp. 52-62, 2022. doi: 10.1016/j.camwa.2022.08.019
Collaborations / Partnerships:
University of Peradeniya Coordinator:
For the collaborative research projects with RMIT University, Australia. (August 1, 2024 – present)
Awards:
Texas Tech University President’s Summer Graduate Scholarship, 2014
Society of Industrial and Applied Mathematics (SIAM) Scholarship, awarded by the Department of Mathematics and Statistics, Texas Tech University, 2013 – 2014
Professional Memberships:
Member:
Society of Industrial and Applied Mathematics (SIAM)
Member:
Institution of Engineers, Sri Lanka (IESL)
Editorial & Review Work:
Reviewer:
Ceylon Journal of Science (2021, 2023)
Distinguished Reviewer:
Annual Research Conference of Sri Lanka Students’ Association in Japan, 2023
Reviewer:
Peradeniya University International Research Sessions (iPURSE), Peradeniya. (2021, 2023, 2024)
Reviewer:
International Conference on Mathematics and Mathematics Education (ICMME) (2021, 2023)
Reviewer:
Postgraduate Institute of Science Research Congress (PGIS ResCon), University of Peradeniya, 2017.
Reviewer:
Moratuwa Engineering Research Conference (MERCON), 2016
Conference Talks (International):
Janitha Gunatilake. pFemView: An Open-Source Visualization Library for p-FEM. ICIAM, Tokyo, Japan. August, 2023.
Janitha Gunatilake. A p-version Finite Element Multigrid Solver using a Space Decomposition Smoother. ICIAM, Valencia, Spain. July, 2019.
Janitha Gunatilake. A finite element multigrid solver for p-nonconforming meshes using additive Schwarz smoothing. ICIAM, Beijing, China. August, 2015.
Janitha Gunatilake and Eugenio Aulisa. A hierarchical basis multigrid method with domain decomposition smoothing for p-type finite element methods. International Conference on Spectral and High Order Methods (ICOSAHOM), Salt Lake City, USA. June, 2014.
Janitha Gunatilake and Eugenio Aulisa. A finite element multigrid method with domain decomposition smoothing for nonconforming meshes. Joint Mathematics Meetings (JMM), Baltimore, USA. January, 2014.
Seminars / Workshops / Public Lectures:
Janitha Gunatilake. Numerical Solution to PDEs: an Introduction. Webinar organized by the Mathematics Society, University of Sri Jayawardenepura. November, 2021.
Janitha Gunatilake. Application of Finite Element Methods in Design Work. Public Lecture orgaized by the Mechanical Engineering Sectional Committee (MESC) of the Institution of Engineers, Sri Lanka (IESL). April, 2015.
Janitha Gunatilake. Mathematical tools used in engineering research. Workshop on Research Methodology conducted by the Engineering Research Unit, University of Moratuwa, Sri Lanka. November, 2014.
Janitha Gunatilake. Some recent developments in hierarchical basis finite element methods. Department of Engineering Mathematics, University of Peradeniya, Sri Lanka. November, 2014 (invited talk)
Janitha Gunatilake. Recent Developments in Finite Element Methods in Engineering. Research dissemination seminar, University of Moratuwa, Sri Lanka. December, 2014.
Janitha Gunatilake. A hierarchical basis multigrid method for p-type finite elements using domain decomposition smoothing. Seminar in Applied Mathematics, Texas Tech University, USA. April, 2014.
Current Courses:
EM315:
Numerical Methods for Civil Engineers
EM312:
Fourier Analysis
Past Courses Taught:
At the University of Peradeniya:
EM315:
Numerical Methods for Civil Engineers
EM312:
Fourier Analysis
EM316:
Numerical Methods for Electrical and Electronic Engineers
EM502:
Optimization
EM215:
Numerical Methods
EM216:
Differential Equations
EM211:
Ordinary Differential Equations
EM514:
Partial Differential Equations
GP104:
Mathematics II
At the University of Moratuwa:
MA4053:
Numerical Analysis for Scientific Computing
EM2053:
Graph Theory
EM1032:
Numerical Methods for Computer Science
EM1023:
Methods of Mathematics
ME5001:
Mathematical Techniques (Postgraduate Course)
At the Texas Tech University:
MATH 2450:
Calculus III with Applications
MATH 2350:
Calculus III
MATH 1451:
Calculus I with Applications
MATH 1331:
Introductory Mathematical Analysis II
MATH 1321:
Trigonometry